Index Theory Coarse Geometry And Topology Of Manifolds

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Index Theory, Coarse Geometry, and Topology of Manifolds

Lecture notes from the conference held Aug. 1995 in Boulder, Colo.
Lectures on Coarse Geometry

Coarse geometry is the study of spaces (particularly metric spaces) from a 'large scale' point of view, so that two spaces that look the same from a great distance are actually equivalent. This book provides a general perspective on coarse structures. It discusses results on asymptotic dimension and uniform embeddings into Hilbert space.
Higher Index Theory

Author: Rufus Willett
language: en
Publisher: Cambridge University Press
Release Date: 2020-07-02
A friendly introduction to higher index theory, a rapidly-developing subject at the intersection of geometry, topology and operator algebras. A well-balanced combination of introductory material (with exercises), cutting-edge developments and references to the wider literature make this book a valuable guide for graduate students and experts alike.