Topology Proceedings 33 (2009), pp. 163-183

Coarse embeddability into Banach spaces

M.I. Ostrovskii

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 l₂ implies presence of expander-like structures? (b) To what extent l₂ is the most difficult space to embed into?

Keywords: coarse embedding, uniform embedding, Banach space, expander graph, locally finite metric space, bounded geometry

Mathematics Subject Classification: 54E40 46B20 (05C12)

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Topology Proceedings, Volume 33 (2009)
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