A Class of Metric Spaces Which Do Not Coarsely Contain Expanders

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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.

Keywords:

coarse embedding expander special metric space.
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DOI

10.13447/j.1674-5647.2014.03.10

How to Cite

A Class of Metric Spaces Which Do Not Coarsely Contain Expanders. (2021). Communications in Mathematical Research, 30(3), 284-288. https://doi.org/10.13447/j.1674-5647.2014.03.10