Geometry on Poincare Spaces (Mathematical Notes 41)
Language: English
Published by Princeton University Press, 1993
- Softcover
- Used
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- Title
- Geometry on Poincare Spaces (Mathematical Notes 41)
- Author
- Hausmann, Jean-Claude, And Pierre Vogel
- Publisher
- Princeton University Press
- Publication year
- 1993
- Condition
- UsedVeryGood
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 0691021139
- ISBN 13
- 9780691021133
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.
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