Synopsis
This survey covers groups of homotopy self-equivalence classes of topological spaces, and the homotopy type of spaces of homotopy self-equivalences. For manifolds, the full group of equivalences and the mapping class group are compared, as are the corresponding spaces. Included are methods of calculation, numerous calculations, finite generation results, Whitehead torsion and other areas. Some 330 references are given. The book assumes familiarity with cell complexes, homology and homotopy. Graduate students and established researchers can use it for learning, for reference, and to determine the current state of knowledge.
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Review
The author has done an assiduous job of organizing a diverse body of results into a coherent whole. -- Darryl McCullough, Mathematical Reviews, Issue 98f
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Spaces of Homotopy Self-Equivalences - A Survey (Lecture Notes in Mathematics, 1662)
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Spaces of Homotopy Self-Equivalences - A Survey
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ISBN 10: 3540631038
ISBN 13: 9783540631033
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This survey covers groups of homotopy self-equivalence classes of topological spaces, and the homotopy type of spaces of homotopy self-equivalences. For manifolds, the full group of equivalences and the mapping class group are compared, as are the corresponding spaces. Included are methods of calculation, numerous calculations, finite generation results, Whitehead torsion and other areas. Some 330 references are given. The book assumes familiarity with cell complexes, homology and homotopy. Graduate students and established researchers can use it for learning, for reference, and to determine the current state of knowledge. 188 pp. Englisch. Seller Inventory # 9783540631033
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Spaces of homotopy self-equivalences. A survey.
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Spaces of Homotopy Self-Equivalences A Survey (Lecture Notes in Mathematics, 1662, Band 1662)
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ISBN 10: 3540631038
ISBN 13: 9783540631033
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