Geometry on Poincare Spaces
Seiten
1993
Princeton University Press (Verlag)
978-0-691-02113-3 (ISBN)
Princeton University Press (Verlag)
978-0-691-02113-3 (ISBN)
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This text explains how to perform, in the category of Poincare spaces, a certain number of geometrical constructions which are useful in the field of manifolds. These constructions may be used to solve manifold problems, such as embeddings and group actions.
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.
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.
Jean-Claude Hausmann is Professor of Mathematics at the University of Geneva. Pierre Vogel is Professor of Mathematics at the University of Paris VII.
| Reihe/Serie | Mathematical Notes |
|---|---|
| Verlagsort | New Jersey |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| ISBN-10 | 0-691-02113-9 / 0691021139 |
| ISBN-13 | 978-0-691-02113-3 / 9780691021133 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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