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Combinatorial Foundation of Homology and Homotopy: Applications to Spaces, Diagrams, Transformation Groups, Compactifications, Differential Algebras, ... (Springer Monographs in Mathematics) - Hardcover
Synopsis
A new combinatorial foundation of the two concepts, based on a consideration of deep and classical results of homotopy theory, and an axiomatic characterization of the assumptions under which results in this field hold. Includes numerous explicit examples and applications in various fields of topology and algebra.
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From the Back Cover
This book considers deep and classical results of homotopy theory like the homological Whitehead theorem, the Hurewicz theorem, the finiteness obstruction theorem of Wall, the theorems on Whitehead torsion and simple homotopy equivalences, and characterizes axiomatically the assumptions under which such results hold. This leads to a new combinatorial foundation of homology and homotopy. Numerous explicit examples and applications in various fields of topology and algebra are given.
Review
"This monograph is a substantial enrichment of the literature on homotopical algebra and it is very valuable as a source of inspiration for further research." -- MATHEMATICAL REVIEWS
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- PublisherSpringer
- Publication date1998
- ISBN 10 3540649840
- ISBN 13 9783540649847
- BindingHardcover
- LanguageEnglish
- Number of pages380
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Combinatorial Foundation of Homology and Homotopy: Applications to Spaces, Diagrams, Transformation Groups, Compactifications, Differential Algebras, ... (Springer Monographs in Mathematics)
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Combinatorial Foundation of Homology and Homotopy
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ISBN 10: 3540649840
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -A new combinatorial foundation of the two concepts, based on a consideration of deep and classical results of homotopy theory, and an axiomatic characterization of the assumptions under which results in this field hold. Includes numerous explicit examples and applications in various fields of topology and algebra. 392 pp. Englisch. Seller Inventory # 9783540649847
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Combinatorial Foundation of Homology and Homotopy : Applications to Spaces, Diagrams, Transformation Groups, Compactifications, Differential Algebras, Algebraic Theories, Simplicial Objects, and Resolutions
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ISBN 13: 9783540649847
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - In this book we consider deep and classical results of homotopy theory like the homological Whitehead theorem, the Hurewicz theorem, the finiteness obstruction theorem of Wall, the theorems on Whitehead torsion and simple homotopy equivalences, and we characterize axiomatically the assumptions under which such results hold. This leads to a new combinatorial foundation of homology and homotopy. Numerous explicit examples and applications in various fields of topology and algebra are given. Seller Inventory # 9783540649847
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Combinatorial Foundation of Homology and Homotopy
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ISBN 10: 3540649840
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. A new combinatorial foundation of the two concepts, based on a consideration of deep and classical results of homotopy theory, and an axiomatic characterization of the assumptions under which results in this field hold. Includes numerous explicit example. Seller Inventory # 4897015
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Combinatorial Foundation of Homology and Homotopy: Applications to Spaces, Diagrams, Transformation Groups, Compactifications, Differential Algebras, . (Springer Monographs in Mathematics)
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