This is an announcement for the paper "Coarse embeddability into Banach spaces" by M.I. Ostrovskii.

Abstract: 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?

Archive classification: math.FA math.MG

Mathematics Subject Classification: 46B20; 54E40

Remarks: 23 pages

The source file(s), Coarse2007.tex: 46609 bytes, is(are) stored in gzipped form as 0802.3666.gz with size 15kb. The corresponding postcript file has gzipped size 125kb.

Submitted from: ostrovsm@stjohns.edu

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http://front.math.ucdavis.edu/0802.3666

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http://arXiv.org/abs/0802.3666

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