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Invariants for proper metric spaces and open Riemannian manifolds

✍ Scribed by Jürgen Eichhorn

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
337 KB
Volume
253
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

We introduce uniform structures of proper metric spaces and open Riemannian manifolds, characterize their (arc) components, present new invariants like e.g. Lipschitz and Gromov–Hausdorff cohomology, specialize to uniform triangulations of manifolds and prove that the presence of a spectral gap above zero is a bounded homotopy invariant.

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