Bibliographic Information

Geometry on Poincaré spaces

by Jean-Claude Hausmann and Pierre Vogel

(Mathematical notes, 41)

Princeton University Press, 1993

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Note

Includes bibliographical references (p. 245-250) and index

Description and Table of Contents

Description

A Poincare space is a topological space satisfying Poincare duality, as a compact manifold. This book explains how to perform, in the category of Poincare spaces, a certain number of geometric constructions which are usual in the world of manifolds (surgery, handle techniques, transversality, etc.). These constructions turn out to be useful in solving manifold problems, such as embeddings and group actions. This is the first book to be published on this subject. The methods are based on standard surgery theory and elementary homotopy arguments.

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