Geometry on Poincaré spaces / by Jean-Claude Hausmann and Pierre Vogel

Hausmann, J. C. (Jean-Claude). Vogel, Pierre (1945-)

ISBN 10: 0691021139 / ISBN 13: 9780691021133

Published by Princeton, N.J. : Princeton University Press, 1993

About this Item

Fine paperback copy. Particularly well-preserved; tight, bright and clean. Physical description; 255 pp., illustrations. Notes; Includes bibliographic references. Subjects; Topological spaces. Poincaré series. Mathematics. 1 Kg.

Seller Inventory # 386015

Bibliographic Details

• Title: Geometry on Poincaré spaces / by Jean-Claude Hausmann and Pierre Vogel
• Publisher: Princeton, N.J. : Princeton University Press
• Publication Date: 1993
• Language: English
• ISBN 10: 0691021139
• ISBN 13: 9780691021133
• Binding: Soft cover
• Edition: 1st edition.
• Weight: 1 kilogram

About this title

Synopsis

A Poincaré space is a topological space satisfying Poincaré duality, as a compact manifold. This book explains how to perform, in the category of Poincaré 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.

About the Author

Jean-Claude Hausmann is Professor of Mathematics at the University of Geneva. Pierre Vogel is Professor of Mathematics at the University of Paris VII.