UID:
edocfu_9958354949702883
Format:
1 online resource (407p.)
Edition:
Reprint 2011
ISBN:
9783110854480
Series Statement:
De Gruyter Expositions in Mathematics ; 2
Note:
Frontmatter --
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Chapter I. Homotopy, homology, and Whitehead’s classification of simply connected 4-dimensional CW-complexes --
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Chapter II. The CW-tower of categories --
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Chapter III. Crossed modules and homotopy systems of order 3 --
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Chapter IV. Quadratic modules and homotopy systems of order 4. § 1 Quadratic modules --
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Chapter IV. Quadratic modules and homotopy systems of order 4. § 2 Free quadratic modules --
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Chapter IV. Quadratic modules and homotopy systems of order 4. § 3 Quadratic chain complexes --
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Chapter IV. Quadratic modules and homotopy systems of order 4. § 4 Homotopies for quadratic chain maps --
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Chapter IV. Quadratic modules and homotopy systems of order 4. § 5 Cofibrations in the category of quadratic chain complexes --
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Chapter IV. Quadratic modules and homotopy systems of order 4. § 6 The secondary homotopy addition lemma and a model functor from spaces to quadratic chain complexes --
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Chapter IV. Quadratic modules and homotopy systems of order 4. § 7 Homotopy systems of order 4 --
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Chapter IV. Quadratic modules and homotopy systems of order 4. § 8 The homotopy category of 3-dimensional CW-complexes --
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Chapter IV. Quadratic modules and homotopy systems of order 4. § 9 The CW-tower in degree ≤ 4 --
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Chapter IV. Quadratic modules and homotopy systems of order 4. § 10 The homotopy category of 3-types --
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Chapter IV. Quadratic modules and homotopy systems of order 4. § 11 The action of the fundamental group for quadratic chain complexes --
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Chapter IV. Quadratic modules and homotopy systems of order 4. § 12 The quadratic chain complex of a product --
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Chapter IV. Quadratic modules and homotopy systems of order 4. Appendix A. Some diverse examples and applications of quadratic chain complexes --
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Chapter IV. Quadratic modules and homotopy systems of order 4. Appendix B. Quadratic chain complexes and simplicial groups --
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Chapter IV. Quadratic modules and homotopy systems of order 4. Appendix C. Reduced and stable quadratic modules --
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Chapter IV. Quadratic modules and homotopy systems of order 4. Appendix D. On the homotopy classification of semi free group actions --
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Chapter V. Cohomological invariants --
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Chapter VI. The cohomology of categories and the calculus of tracks --
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Bibliography --
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List of Symbols --
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Index
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In English.
Additional Edition:
ISBN 978-3-11-012488-0
Language:
English
DOI:
10.1515/9783110854480
URL:
https://doi.org/10.1515/9783110854480