UID:
almahu_9949461122602882
Umfang:
1 online resource (380 p.)
Ausgabe:
Reprint 2011
ISBN:
9783110854480
,
9783110494969
Serie:
De Gruyter Expositions in Mathematics , 2
Anmerkung:
Frontmatter --
,
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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Issued also in print.
,
Mode of access: Internet via World Wide Web.
,
In English.
In:
DG Expositions in Mathematics Backlist eBook Package, De Gruyter, 9783110494969
In:
DGBA Mathematics - 1990 - 1999, De Gruyter, 9783110637199
In:
E-DITION: BEST OF MATHEMATICS, De Gruyter, 9783110233957
Weitere Ausg.:
ISBN 9783110124880
Sprache:
Englisch
Fachgebiete:
Mathematik
DOI:
10.1515/9783110854480
URL:
https://doi.org/10.1515/9783110854480
URL:
https://www.degruyter.com/isbn/9783110854480