scholarly journals The coarse geometry of Tsirelson’s space and applications

2018 ◽  
Vol 31 (3) ◽  
pp. 699-717 ◽  
Author(s):  
F. Baudier ◽  
G. Lancien ◽  
Th. Schlumprecht
Keyword(s):  
Coarse Geometry

scholarly journals Generic Coarse Geometry of Leaves

2018 ◽  
Author(s):  
Jesús A. Álvarez López ◽  
Alberto Candel
Keyword(s):  
Coarse Geometry

Generic Coarse Geometry of Orbits

2018 ◽  
pp. 91-114
Author(s):  
Jesús A. Álvarez López ◽  
Alberto Candel
Keyword(s):  
Coarse Geometry

Coarse geometry of evolving networks

2017 ◽  
Vol 6 (5) ◽  
pp. 706-732 ◽  
Author(s):  
Melanie Weber ◽  
Emil Saucan ◽  
Jürgen Jost
Keyword(s):  
Coarse Geometry ◽  
Evolving Networks

scholarly journals A combinatorial approach to coarse geometry

2012 ◽  
Vol 159 (3) ◽  
pp. 646-658 ◽  
Author(s):  
M. Cencelj ◽  
J. Dydak ◽  
A. Vavpetič ◽  
Ž. Virk
Keyword(s):  
Combinatorial Approach ◽  
Coarse Geometry

scholarly journals Coarse Geometry and Index Theory

2001 ◽  
Vol 144 ◽  
pp. 111-118
Author(s):  
Shingo Kamimura
Keyword(s):  
Index Theory ◽  
Coarse Geometry

scholarly journals Sofic boundaries of groups and coarse geometry of sofic approximations

2018 ◽  
Vol 13 (1) ◽  
pp. 191-234 ◽  
Author(s):  
Vadim Alekseev ◽  
Martin Finn-Sell
Keyword(s):  
Coarse Geometry

scholarly journals Coarse amenability versus paracompactness

2014 ◽  
Vol 06 (01) ◽  
pp. 125-152 ◽  
Author(s):  
M. Cencelj ◽  
J. Dydak ◽  
A. Vavpetič
Keyword(s):  
Large Scale ◽  
Property A ◽  
Coarse Geometry ◽  
Easy Proof ◽  
And Topology ◽  
Large Scale Geometry ◽  
Nontrivial Group ◽  
Paracompact Spaces

Recent research in coarse geometry revealed similarities between certain concepts of analysis, large scale geometry, and topology. Property A of Yu is the coarse analog of amenability for groups and its generalization (exact spaces) was later strengthened to be the large scale analog of paracompact spaces using partitions of unity. In this paper we go deeper into divulging analogies between coarse amenability and paracompactness. In particular, we define a new coarse analog of paracompactness modeled on the defining characteristics of expanders. That analog gives an easy proof of three categories of spaces being coarsely non-amenable: expander sequences, graph spaces with girth approaching infinity, and unions of powers of a finite nontrivial group.

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