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Jun 27, 2019
06/19

by
Donne, John, 1572-1631

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2.0

Jun 30, 2018
06/18

by
Enrico Le Donne; Severine Rigot

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Our main result is a positive answer to the question whether one can find homogeneous distances on the Heisenberg groups that have the Besicovitch Covering Property (BCP). This property is well known to be one of the fundamental tools of measure theory, with strong connections with the theory of differentiation of measures. We prove that BCP is satisfied by the homogeneous distances whose unit ball centered at the origin coincides with an Euclidean ball. Such homogeneous distances do exist on...

Topics: Mathematics, Metric Geometry

Source: http://arxiv.org/abs/1406.1484

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Jul 1, 2019
07/19

by
Donne, John, 1572-1631

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24

Aug 18, 2018
08/18

by
Pascual, Jhaydee Ann F; Rizo, Eric Zeus C; Han, Boping; Dumont, Henri J; Papa, Rey Donne S

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5
5.0

Jun 28, 2018
06/18

by
Enrico Le Donne; Sebastiano Nicolussi Golo; Andrea Sambusetti

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The paper is devoted to the large scale geometry of the Heisenberg group $\mathbb H$ equipped with left-invariant Riemannian distances. We prove that two such distances have bounded difference if and only if they are asymptotic, i.e., their ratio goes to one, at infinity. Moreover, we show that for every left-invariant Riemannian distance $d$ on $\mathbb H$ there is a unique subRiemanniann metric $d'$ for which $d-d'$ goes to zero at infinity, and we estimate the rate of convergence. As a first...

Topics: Group Theory, Metric Geometry, Differential Geometry, Mathematics

Source: http://arxiv.org/abs/1509.00288

5
5.0

Jun 30, 2018
06/18

by
Luca Capogna; Enrico Le Donne

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We refine estimates introduced by Balogh and Bonk, to show that the boundary extensions of isometries between smooth strongly pseudoconvex domains in $\C^n$ are conformal with respect to the sub-Riemannian metric induced by the Levi form. As a corollary we obtain an alternative proof of a result of Fefferman on smooth extensions of biholomorphic mappings between pseudoconvex domains. The proofs are inspired by Mostow's proof of his rigidity theorem and are based on the asymptotic hyperbolic...

Topics: Metric Geometry, Differential Geometry, Complex Variables, Mathematics

Source: http://arxiv.org/abs/1703.00238

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24

May 17, 2019
05/19

by
Donne, John, 1572-1631

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xvii, 114 p. ; 23 cm. --

Topic: Suicide -- Early works to 1800

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48

Sep 21, 2013
09/13

by
Enrico Le Donne; Alessandro Ottazzi; Ben Warhurst

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We show that the tangent cone at the identity is not a complete quasiconformal invariant for sub-Riemannian nilpotent groups. Namely, we show that there exists a nilpotent Lie group equipped with left invariant sub-Riemannian metric that is not locally quasiconformally equivalent to its tangent cone at the identity. In particular, such spaces are not locally bi-Lipschitz homeomorphic. The result is based on the study of Carnot groups that are rigid in the sense that their only quasiconformal...

Source: http://arxiv.org/abs/1104.3071v1

Join Donne as he delves deep into the deepest of deep house.

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26

Jul 23, 2013
07/13

by
Donne, John, 1573-1631; Simpson, Evelyn Mary Spearing, 1885-1963. edt

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Topics: Church of England, Sermons, English

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2.0

Jun 29, 2018
06/18

by
Enrico Le Donne

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Carnot groups are distinguished spaces that are rich of structure: they are those Lie groups equipped with a path distance that is invariant by left-translations of the group and admit automorphisms that are dilations with respect to the distance. We present the basic theory of Carnot groups together with several remarks. We consider them as special cases of graded groups and as homogeneous metric spaces. We discuss the regularity of isometries in the general case of Carnot-Caratheodory spaces...

Topics: Differential Geometry, Metric Geometry, Group Theory, Mathematics

Source: http://arxiv.org/abs/1604.08579

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44

Sep 23, 2013
09/13

by
Enrico Le Donne

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We are interested in studying doubling metric spaces with the property that at some of the points the metric tangent is unique. In such a setting, Finsler-Carnot-Caratheodory geometries and Carnot groups appear as models for the tangents. The results are based on an analogue for metric spaces of Preiss's phenomenon: tangents of tangents are tangents.

Source: http://arxiv.org/abs/1012.2210v1

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23

Oct 17, 2019
10/19

by
Donne, John, 1572-1631

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viii, 376 p. ; 24 cm

Topics: Donne, John, 1572-1631 -- Quotations, Language and languages -- Religious aspects -- Quotations,...

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4.0

Jun 28, 2018
06/18

by
Enrico Le Donne; Severine Rigot

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We give a complete answer to which homogeneous groups admit homogeneous distances for which the Besicovitch Covering Property (BCP) holds. In particular, we prove that a stratified group admits homogeneous distances for which BCP holds if and only if the group has step 1 or 2. These results are obtained as consequences of a more general study of homogeneous quasi-distances on graded groups. Namely, we prove that a positively graded group admits continuous homogeneous quasi-distances satisfying...

Topics: Functional Analysis, Metric Geometry, Mathematics, Group Theory

Source: http://arxiv.org/abs/1512.04936

2
2.0

Jun 28, 2018
06/18

by
Ricardo C. Corrêa; Diego Delle Donne; Ivo Koch; Javier Marenco

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We propose general separation procedures for generating cuts for the stable set polytope, inspired by a procedure by Rossi and Smriglio and applying a lifting method by Xavier and Camp\^{e}lo. In contrast to existing cut-generating procedures, ours generate both rank and non-rank valid inequalities, hence they are of a more general nature than existing methods. This is accomplished by iteratively solving a lifting problem, which consists of a maximum weighted stable set problem on a smaller...

Topics: Discrete Mathematics, Computing Research Repository

Source: http://arxiv.org/abs/1512.08757

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Sep 23, 2013
09/13

by
Luigi Ambrosio; Bruce Kleiner; Enrico Le Donne

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We consider sets of locally finite perimeter in Carnot groups. We show that if E is a set of locally finite perimeter in a Carnot group G, then for almost every x in G with respect to the perimeter measure of E, some tangent of E at x is a vertical halfspace. This is a partial extension of a theorem of Franchi-Serapioni-Serra Cassano in step 2 Carnot groups: they have shown that, for almost every x, E has a unique tangent at x, and this tangent is a vertical halfspace.

Source: http://arxiv.org/abs/0801.3741v1

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3.0

Jun 30, 2018
06/18

by
Ricardo C. Corrêa; Philippe Michelon; Bertrand Le Cun; Thierry Mautor; Diego Delle Donne

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Finding the clique of maximum cardinality in an arbitrary graph is an NP-Hard problem that has many applications, which has motivated studies to solve it exactly despite its difficulty. The great majority of algorithms proposed in the literature are based on the Branch and Bound method. In this paper, we propose an exact algorithm for the maximum clique problem based on the Russian Dolls Search method. When compared to Branch and Bound, the main difference of the Russian Dolls method is that...

Topics: Data Structures and Algorithms, Computing Research Repository

Source: http://arxiv.org/abs/1407.1209

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7.0

Jun 29, 2018
06/18

by
Enrico Le Donne; Tapio Rajala; Erik Walsberg

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We consider a general notion of snowflake of a metric space by composing the distance by a nontrivial concave function. We prove that a snowflake of a metric space $X$ isometrically embeds into some finite-dimensional normed space if and only if $X$ is finite. In the case of power functions we give a uniform bound on the cardinality of $X$ depending only on the power exponent and the dimension of the vector space.

Topics: Metric Geometry, Mathematics

Source: http://arxiv.org/abs/1609.03377

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4.0

Jun 29, 2018
06/18

by
Enrico Le Donne; Gareth Speight

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A Carnot group $\mathbb{G}$ admits Lusin approximation for horizontal curves if for any absolutely continuous horizontal curve $\gamma$ in $\mathbb{G}$ and $\varepsilon>0$, there is a $C^1$ horizontal curve $\Gamma$ such that $\Gamma=\gamma$ and $\Gamma'=\gamma'$ outside a set of measure at most $\varepsilon$. We verify this property for free Carnot groups of step 2 and show that it is preserved by images of Lie group homomorphisms preserving the horizontal layer. Consequently, all step 2...

Topics: Differential Geometry, Metric Geometry, Functional Analysis, Mathematics

Source: http://arxiv.org/abs/1602.02607

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2.0

Jun 29, 2018
06/18

by
Ville Kivioja; Enrico Le Donne

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We consider Lie groups equipped with arbitrary distances. We only assume that the distance is left-invariant and induces the manifold topology. For brevity, we call such object metric Lie groups. Apart from Riemannian Lie groups, distinguished examples are sub-Riemannian Lie groups and, in particular, Carnot groups equipped with Carnot-Carath\'eodory distances. We study the regularity of isometries, i.e., distance-preserving homeomorphisms. Our first result is the analyticity of such maps...

Topics: Differential Geometry, Metric Geometry, Group Theory, Mathematics

Source: http://arxiv.org/abs/1601.08172

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17

Jul 21, 2020
07/20

by
Donne, William Bodham

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Source: Asiatic Society of Mumbai Identifier: BK_00063313 Digitization Sponsor: H.T.Parekh

Topics: Book, Biography and Genealogy, gsan

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19

Aug 18, 2018
08/18

by
Papa, Rey Donne S; Zafaralla., Macrina T

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12

Jun 6, 2019
06/19

by
Donne, John, 1572-1631

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favorite 1

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comment 0

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34

Sep 21, 2013
09/13

by
Emmanuel Breuillard; Enrico Le Donne

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Addressing a question of Gromov, we give a rate in Pansu's theorem about the convergence in Gromov-Hausdorff metric of a finitely generated nilpotent group equipped with a left-invariant word metric scaled by a factor 1/n towards its asymptotic cone. We show that due to the possible presence of abnormal geodesics in the asymptotic cone, this rate cannot be better than n^{1/2} for general non-abelian nilpotent groups. As a corollary we also get an error term of the form vol(B(n))=cn^d +...

Source: http://arxiv.org/abs/1204.1613v1

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38

Sep 18, 2013
09/13

by
Costante Bellettini; Enrico Le Donne

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In the Engel group with its Carnot group structure we study subsets of locally finite subRiemannian perimeter and possessing constant subRiemannian normal. We prove the rectifiability of such sets: more precisely we show that, in some specific coordinates, they are upper-graphs of entire Lipschitz functions (with respect to the Euclidean distance). However we find that, when they are written as intrinsic upper-graphs with respect to the direction of the normal, then the function defining the...

Source: http://arxiv.org/abs/1201.6399v1

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34

Sep 28, 2018
09/18

by
Donne, John, 1572-1631

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li, 485 pages ; 20 cm

Topics: Literatura inglesa, Poesia

5
5.0

Mar 16, 2021
03/21

by
Donne, John, 1572-1631

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xxiii, p.,facsim.: 4 p. l., 143, [5] p. 13cm

Topics: Ignatius, of Loyola, Saint, 1491-1556, Jesuits -- Controversial literature, Jesuits

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43

Sep 23, 2013
09/13

by
Attilio Le Donne

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Goldman (Invent. Math. 85(2) (1986) 263) and Turaev (Ann. Sci. Ecole Norm. Sup. (4) 24 (6)(1991) 635) found a Lie bialgebra structure on the vector space generated by non-trivial free homotopy classes of loops on an orientable surface. Chas (Combinatorial Lie bialgebras of curves on surfaces, Topology 43 (2004) 543), by the aid of the computer, found a negative answer to Turaev's question about the characterization of multiples of simple classes in terms of the cobracket, in every surface of...

Source: http://arxiv.org/abs/math/0510659v1

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11

Feb 28, 2019
02/19

by
Bryant, Douglas Donne

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325 p. in various pagings : 27 cm

Topics: Ethnohistory -- Mexico -- Chiapas, Excavations (Archaeology) -- Mexico -- Chiapas, Indians of...

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8.0

Jun 28, 2019
06/19

by
Donne, John, 1572-1631

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24

Aug 7, 2019
08/19

by
Donne, John, 1572-1631

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xxix, 137 p. 23 cm

Topic: Theology, Doctrinal

2
2.0

Jun 30, 2018
06/18

by
Kyle Kinneberg; Enrico Le Donne

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We give a metric characterization of snowflakes of Euclidean spaces. Namely, a metric space is isometric to $\mathbb R^n$ equipped with a distance $(d_{\rm E})^\epsilon$, for some $n\in \mathbb N_0$ and $\epsilon\in (0,1]$, where $d_{\rm E}$ is the Euclidean distance, if and only if it is locally compact, $2$-point isometrically homogeneous, and admits dilations of any factor.

Topics: Mathematics, Metric Geometry

Source: http://arxiv.org/abs/1408.5793

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18

Jul 16, 2019
07/19

by
Donne, John, 1572-1631

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209 p

Topic: Drury, Elizabeth, d. 1610 -- Poetry

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40

Sep 20, 2013
09/13

by
Enrico Le Donne; Gian Paolo Leonardi; Roberto Monti; Davide Vittone

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We classify extremal curves in free nilpotent Lie groups. The classification is obtained via an explicit integration of the adjoint equation in Pontryagin Maximum Principle. It turns out that abnormal extremals are precisely the horizontal curves contained in algebraic varieties of a specific type. We also extend the results to the nonfree case.

Source: http://arxiv.org/abs/1207.3985v2

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39

Sep 20, 2013
09/13

by
Enrico Le Donne; Roger Züst

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It is a folk conjecture that for alpha > 1/2 there is no alpha-Hoelder surface in the subRiemannian Heisenberg group. Namely, it is expected that there is no embedding from an open subset of R^2 into the Heisenberg group that is Hoelder continuous of order strictly greater than 1/2. The Heisenberg group here is equipped with its Carnot-Caratheodory distance. We show that, in the case that such a surface exists, it cannot be of essential bounded variation and it intersects some vertical line...

Source: http://arxiv.org/abs/1205.0228v1

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8.0

Sep 26, 2018
09/18

by
Donne, John, 1572-1631

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xiii, 97 pages ; 21 cm

Topics: Spiritual life -- Christianity, Christian life -- Anglican authors, Christian life -- Anglican...

9
9.0

Nov 5, 2018
11/18

by
A. Donné

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This paper is in the public domain in USA. Metadata comes from the CrossRef API, see full record in the source URL below.

Topic: journals

Source: https://api.crossref.org/works/10.1002/ardp.18290290220

5
5.0

Jun 30, 2018
06/18

by
Enrico Le Donne; Gian Paolo Leonardi; Roberto Monti; Davide Vittone

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We prove that in a class of non-equiregular sub-Riemannian manifolds corners are not length minimizing. This extends the results [4]. As an application of our main result we complete and simplify the analysis in [6], showing that in a 4-dimensional sub-Riemannian structure suggested by Agrachev and Gauthier all length-minimizing curves are smooth.

Topics: Mathematics, Metric Geometry, Analysis of PDEs, Differential Geometry, Optimization and Control

Source: http://arxiv.org/abs/1403.2356

University of Glasgow Library

236
236

Apr 30, 2015
04/15

by
Donné, Alfred, 1801-1878; University of Glasgow. Library

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This material has been provided by The University of Glasgow Library. The original may be consulted at The University of Glasgow Library

Topics: Medical microscopy, Microscopy

8
8.0

Jun 29, 2018
06/18

by
Luca Capogna; Giovanna Citti; Enrico Le Donne; Alessandro Ottazzi

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We prove the equivalence of several natural notions of conformal maps between sub-Riemannian manifolds. Our main contribution is in the setting of those manifolds that support a suitable regularity theory for subelliptic $p$-Laplacian operators. For such manifolds we prove a Liouville-type theorem, i.e., 1-quasiconformal maps are smooth. In particular, we prove that contact manifolds support the suitable regularity. The main new technical tools are a sub-Riemannian version of p-harmonic...

Topics: Differential Geometry, Metric Geometry, Analysis of PDEs, Mathematics

Source: http://arxiv.org/abs/1603.05548

5
5.0

Jun 29, 2018
06/18

by
Richard M. Aron; Jesús A. Jaramillo; Enrico Le Donne

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Given a surjective mapping $f : E \to F$ between Banach spaces, we investigate the existence of a subspace $G$ of $E$, with the same density character as $F$, such that the restriction of $f$ to $G$ remains surjective. We obtain a positive answer whenever $f$ is continuous and uniformly open. In the smooth case, we deduce a positive answer when $f$ is a $C^1$-smooth surjection whose set of critical values is countable. Finally we show that, when $f$ takes values in the Euclidean space $\mathbb...

Topics: Metric Geometry, Functional Analysis, Mathematics

Source: http://arxiv.org/abs/1607.01725

61
61

Jul 19, 2013
07/13

by
Enrico Le Donne

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We prove that each sub-Riemannian manifold can be embedded in some Euclidean space preserving the length of all the curves in the manifold. The result is an extension of Nash C^1 Embedding Theorem. For more general metric spaces the same result is false, e.g., for Finsler non-Riemannian manifolds. However, we also show that any metric space of finite Hausdorff dimension can be embedded in some Euclidean space via a Lipschitz map.

Source: http://arxiv.org/abs/1005.1623v1

15
15

Jun 28, 2018
06/18

by
Enrico Le Donne; Sebastiano Nicolussi Golo

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We study left-invariant distances on Lie groups for which there exists a one-parameter family of homothetic automorphisms. The main examples are Carnot groups, in particular the Heisenberg group with the standard dilations. We are interested in criteria implying that, locally and away from the diagonal, the distance is Euclidean Lipschitz and, consequently, that the metric spheres are boundaries of Lipschitz domains in the Euclidean sense. In the first part of the paper, we consider geodesic...

Topics: Metric Geometry, Group Theory, Differential Geometry, Mathematics

Source: http://arxiv.org/abs/1509.03881

Head-piece and factotum initial

Topic: Plague

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Topics: Drama, English drama

84
84

Sep 21, 2013
09/13

by
Enrico Le Donne

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This paper is devoted to the study of isometrically homogeneous spaces from the view point of metric geometry. Mainly we focus on those spaces that are homeomorphic to lines. One can reduce the study to those distances on $\R$ that are translation invariant. We study possible values of various metric dimensions of such spaces. One of the main results is the equivalence of two properties: the first one is linear connectedness and the second one is 1-dimensionality, with respect to Nagata...

Source: http://arxiv.org/abs/1108.5830v2

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18

Aug 27, 2019
08/19

by
Donne, John, 1572-1631

texts

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17

Jun 28, 2019
06/19

by
Donne, John, 1572-1631

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xxii, 318 p. : 22 cm

Topics: Donne, John, 1604-1662 -- Correspondence, Poets, English -- Early modern, 1500-1700 --...

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23

Jul 2, 2019
07/19

by
Donne, John, 1572-1631

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75
75

Jan 16, 2019
01/19

by
Donne, John, 1572-1631

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223 pages ; 22 cm

Topic: Sonnets