A Class of Metric Spaces Which Do Not Coarsely Contain Expanders

A Class of Metric Spaces Which Do Not Coarsely Contain Expanders

Year:    2014

Author:    Shan Lin

Communications in Mathematical Research , Vol. 30 (2014), Iss. 3 : pp. 284–288

Abstract

In this paper, a class of metric spaces which include Hilbert spaces and Hadamard manifolds are defined. And the expanders cannot be coarsely embedded into this class of metric spaces are proved.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.13447/j.1674-5647.2014.03.10

Communications in Mathematical Research , Vol. 30 (2014), Iss. 3 : pp. 284–288

Published online:    2014-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    5

Keywords:    coarse embedding expander special metric space.

Author Details

Shan Lin