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Spaces of Homotopy Self-Equivalences - A Survey

Spaces of Homotopy Self-Equivalences - A Survey

Paperback

Series: Lecture Notes in Mathematics, Book 1662

General MathematicsGeometry

ISBN10: 3540631038
ISBN13: 9783540631033
Publisher: Springer Nature
Published: Aug 25 1997
Pages: 170
Weight: 0.60
Height: 0.40 Width: 6.14 Depth: 9.21
Language: English
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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General Mathematics