Results 11 to 20 of about 620,022 (302)
Contracting Boundaries of CAT(0) Spaces [PDF]
Journal of Topology, 2013 As demonstrated by Croke and Kleiner, the visual boundary of a CAT(0) group is not well-defined since quasi-isometric CAT(0) spaces can have non-homeomorphic boundaries.
Charney, Ruth, Sultan, Harold
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The Boundary at Infinity of a Rough CAT(0) Space
Analysis and Geometry in Metric Spaces, 2014 We develop the boundary theory of rough CAT(0) spaces, a class of length spaces that contains both Gromov hyperbolic length spaces and CAT(0) spaces.
Buckley S.M., Falk K.
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Cascading Operators in CAT(0) Spaces [PDF]
Axioms, 2021 In this work, we introduce the notion of cascading non-expansive mappings in the setting of CAT(0) spaces. This family of mappings properly contains the non-expansive maps, but it differs from other generalizations of this class of maps.
Helga Fetter Nathansky +1 more
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On the Monotone Mappings in CAT(0) Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2020 In this paper, we first introduce a monotone mapping and its resolvent in general metric spaces.Then, we give two new iterative methods by combining the resolvent method with Halpern's iterative method and viscosity approximation method for finding a ...
Davood Afkhami Taba, Hossein Dehghan
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Collapsibility of CAT(0) spaces [PDF]
Geometriae Dedicata, 2011 27 pages, 3 figures. The part on collapsibility of convex complexes has been removed and forms a new paper, called "Barycentric subdivisions of convexes complex are collapsible" (arXiv:1709.07930). The part on enumeration of manifolds has also been removed and forms now a third paper, called "A Cheeger-type exponential bound for the number of ...
Karim Adiprasito, Bruno Benedetti
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CAT(0) spaces of higher rank II [PDF]
Inventiones mathematicae, 2023 AbstractThis belongs to a series of papers motivated by Ballmann’s Higher Rank Rigidity Conjecture. We prove the following. Let $X$ X be a CAT(0) space with a geometric group action $\Gamma \curvearrowright X$ Γ ↷ X . Suppose that every geodesic in $
Stephan Stadler
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From wall spaces to CAT(0) cube complexes [PDF]
International Journal of Algebra and Computation, 2005 We explain how to adapt a construction due to M. Sageev in order to construct a proper action of a group on a CAT(0) cube complex starting from a proper action of the group on a wall ...
Chatterji, Indira, Niblo, Graham
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Strong Convergence of an Implicit Algorithm in CAT(0) Spaces [PDF]
Fixed Point Theory and Applications, 2010 AbstractWe establish strong convergence of an implicit algorithm to a common fixed point of a finite family of generalized asymptotically quasi-nonexpansive maps in CAT"Equation missing" spaces. Our work improves and extends several recent results from the current literature.
Hafiz Fukhar-ud-din +2 more
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On the isometry groups of certain CAT(0) spaces and trees
Topology and its Applications, 2000 Let \(X\) be a locally finite tree considered as a locally finite 1-dimensional simply connected simplicial complex. The group of automorphisms \(\Aut(X)\) consists of simplicial homeomorphisms of \(X\). Equipped with the compact open topology, this group is a locally compact totally disconnected Hausdorff topological group.
Daniel Farley
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Weak topology on CAT(0) spaces
Israel Journal of Mathematics, 2022 We analyze weak convergence on CAT(0) spaces and the existence and properties of corresponding weak topologies.
Lytchak, Alexander, Petrunin, Anton
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