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Metric Characterizations of Superreflexivity in Terms of Word Hyperbolic Groups and Finite Graphs

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Ostrovskii M.

Analysis and Geometry in Metric Spaces

2014

tom 2

nr 1

We show that superreflexivity can be characterized in terms of bilipschitz embeddability of word hyperbolic groups.We compare characterizations of superrefiexivity in terms of diamond graphs and binary trees.We show that there exist sequences of series-parallel graphs of increasing topological complexitywhich admit uniformly bilipschitz embeddings into a Hilbert space, and thus do not characterize superrefiexivity.

Ograniczanie wyników

1 Analysis and Geometry in Metric Spaces

1 Ostrovskii M.

1 2014

Wyniki wyszukiwania

Metric Characterizations of Superreflexivity in Terms of Word Hyperbolic Groups and Finite Graphs