Affiliation:
1. Mathematics Department, Texas A&M University, College Station, TX 77843, USA
Abstract
In this paper fundamental nonlinear geometries of Lebesgue sequence spaces are studied in their quantitative aspects. Applications of this work are a positive solution to the strong embeddability problem from [Formula: see text] into [Formula: see text] ([Formula: see text]) and new insights on the coarse embeddability problem from [Formula: see text] into [Formula: see text], [Formula: see text]. Relevant to geometric group theory purposes, the exact [Formula: see text]-compression of [Formula: see text] is computed. Finally coarse deformation of metric spaces with property A and locally compact amenable groups is investigated.
Publisher
World Scientific Pub Co Pte Lt
Subject
Geometry and Topology,Analysis
Cited by
4 articles.
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