The n-Point Condition and Rough CAT(0)-Reference-Cited by-同舟云学术

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The n-Point Condition and Rough CAT(0)

Published:2013-01-14 Issue: Volume:1 Page:58-68
ISSN:2299-3274
Container-title:Analysis and Geometry in Metric Spaces
language:
Short-container-title:

Author:

Buckley Stephen M.,Hanson Bruce

Abstract

Abstract We show that for n ≥ 5, a length space (X; d) satisfies a rough n-point condition if and only if it is rough CAT(0). As a consequence, we show that the class of rough CAT(0) spaces is closed under reasonably general limit processes such as pointed and unpointed Gromov-Hausdorff limits and ultralimits.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Geometry and Topology,Analysis

Link

https://www.degruyter.com/view/j/agms.2012.1.issue/agms-2012-0005/agms-2012-0005.pdf

Reference8 articles.

1. curvature and hyperbolicity in Global differential geometry : the mathematical legacy of Providence;Gromov;Math Math Soc,2001

2. Metric Spaces of Non - positive Curvature Verlag New York;Bridson,1999

3. de la les groupes hyperboliques d aprés Progress in;Ghys;Sur Math,1990

4. Groups acting properly on bolic spaces and the Novikov conjecture;Kasparov;Ann Math,2003

5. hyperbolic spaces Expo no;Väisälä;Math,2005

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Spaces with almost Euclidean Dehn function;Mathematische Annalen;2019-03-21

2. The Boundary at Infinity of a Rough CAT(0) Space;Analysis and Geometry in Metric Spaces;2014-01-01

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