Coarse embeddability into Banach spaces

Details Coarse embeddability into Banach spaces Coarse embeddability into Banach spaces

2008-02-25

arxiv.org/abs/0802.3666v1

Topology Proceedings 33 (2009) pp. 163-183

Mathematics

Functional Analysis

23 pages

Scientific paper

The main purposes of this paper are (1) To survey the area of coarse embeddability of metric spaces into Banach spaces, and, in particular, coarse embeddability of different Banach spaces into each other; (2) To present new results on the problems: (a) Whether coarse non-embeddability into $\ell_2$ implies presence of expander-like structures? (b) To what extent $\ell_2$ is the most difficult space to embed into?

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