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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 - Hans-Joachim Baues

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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Published: 27th November 1998
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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.

Preface
Leitfaden
Fields of Application
Examples and Applications
Examples and Applications in Topological Categoriesp. 3
Examples and Applications in Algebraic Homotopy Theoriesp. 51
Applications and Examples in Delicate Homotopy Theories of Simplicial Objectsp. 71
Resolutions in Model Categoriesp. 99
Combinatorial Homology and Homotopy
Theories of Coactions and Homologyp. 129
Twisted Chain Complexes and Twisted Homologyp. 169
Basic Concepts of Homotopy Theoryp. 203
Complexes in Cofibration Categoriesp. 229
Homology of Complexesp. 249
Homology of Complexesp. 267
Finiteness Obstructionsp. 301
Non-Reduced Complexes and Whitehead Torsionp. 315
Indexp. 355
List of Notationsp. 361
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783540649847
ISBN-10: 3540649840
Series: Springer Monographs in Mathematics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 365
Published: 27th November 1998
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.4 x 15.6  x 2.54
Weight (kg): 1.6