Results 1 to 10 of about 332 (52)
5-Point CAT(0) Spaces after Tetsu Toyoda
Analysis and Geometry in Metric Spaces, 2021 We give another proof of Toyoda’s theorem that describes 5-point subspaces in CAT(0) length spaces.
Lebedeva Nina, Petrunin Anton
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Growth Competitions on Spherically Symmetric Riemannian Manifolds
Analysis and Geometry in Metric Spaces, 2022 We propose a model for a growth competition between two subsets of a Riemannian manifold. The sets grow at two different rates, avoiding each other. It is shown that if the competition takes place on a surface which is rotationally symmetric about the ...
Assouline Rotem
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Analysis and Geometry in Metric Spaces, 2021 We extend the classical Carathéodory extension theorem to quasiconformal Jordan domains (Y, dY). We say that a metric space (Y, dY) is a quasiconformal Jordan domain if the completion ̄Y of (Y, dY) has finite Hausdorff 2-measure, the boundary ∂Y = ̄Y \ Y
Ikonen Toni
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Branching Geodesics of the Gromov-Hausdorff Distance
Analysis and Geometry in Metric Spaces, 2022 In this paper, we first evaluate topological distributions of the sets of all doubling spaces, all uniformly disconnected spaces, and all uniformly perfect spaces in the space of all isometry classes of compact metric spaces equipped with the Gromov ...
Ishiki Yoshito
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A non-geodesic analogue of Reshetnyak’s majorization theorem
Analysis and Geometry in Metric Spaces, 2023 For any real number κ\kappa and any integer n≥4n\ge 4, the Cycln(κ){{\rm{Cycl}}}_{n}\left(\kappa ) condition introduced by Gromov (CAT(κ)-spaces: construction and concentration, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 280 (2001)
Toyoda Tetsu
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Finite‐dimensional approximation properties for uniform Roe algebras
Journal of the London Mathematical Society, Volume 102, Issue 2, Page 623-644, October 2020., 2020 Abstract We study property A for metric spaces X with bounded geometry introduced by Guoliang Yu. Property A is an amenability‐type condition, which is less restrictive than amenability for groups. The property has a connection with finite‐dimensional approximation properties in the theory of operator algebras. It has been already known that property A
Hiroki Sako
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Metrical characterization of super-reflexivity and linear type of Banach spaces [PDF]
, 2007 We prove that a Banach space X is not super-reflexive if and only if the hyperbolic infinite tree embeds metrically into X. We improve one implication of J.Bourgain's result who gave a metrical characterization of super-reflexivity in Banach spaces in ...
Baudier, Florent
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Scaled Enflo type is equivalent to Rademacher type [PDF]
, 2007 We introduce the notion of the scaled Enflo type of a metric space, and show that for Banach spaces, scaled Enflo type p is equivalent to Rademacher type ...
Mendel, Manor, Naor, Assaf
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A Universal Separable Diversity
Analysis and Geometry in Metric Spaces, 2017 The Urysohn space is a separable complete metric space with two fundamental properties: (a) universality: every separable metric space can be isometrically embedded in it; (b) ultrahomogeneity: every finite isometry between two finite subspaces can be ...
Bryant David, Nies André, Tupper Paul
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Property A and the operator norm localization property for discrete metric spaces [PDF]
, 2012 We study property A defined by G. Yu and the operator norm localization property defined by X. Chen, R. Tessera, X. Wang, and G. Yu. These are coarse geometric properties for metric spaces which have applications to operator K-theory.
Sako, Hiroki
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