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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 -- , Chapter II. The CW-tower of categories -- , Chapter III. Crossed modules and homotopy systems of order 3 -- , Chapter IV. Quadratic modules and homotopy systems of order 4. § 1 Quadratic modules -- , Chapter IV. Quadratic modules and homotopy systems of order 4. § 2 Free quadratic modules -- , Chapter IV. Quadratic modules and homotopy systems of order 4. § 3 Quadratic chain complexes -- , Chapter IV. Quadratic modules and homotopy systems of order 4. § 4 Homotopies for quadratic chain maps -- , Chapter IV. Quadratic modules and homotopy systems of order 4. § 5 Cofibrations in the category of quadratic chain complexes -- , 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 -- , Chapter IV. Quadratic modules and homotopy systems of order 4. § 7 Homotopy systems of order 4 -- , Chapter IV. Quadratic modules and homotopy systems of order 4. § 8 The homotopy category of 3-dimensional CW-complexes -- , Chapter IV. Quadratic modules and homotopy systems of order 4. § 9 The CW-tower in degree ≤ 4 -- , Chapter IV. Quadratic modules and homotopy systems of order 4. § 10 The homotopy category of 3-types -- , Chapter IV. Quadratic modules and homotopy systems of order 4. § 11 The action of the fundamental group for quadratic chain complexes -- , Chapter IV. Quadratic modules and homotopy systems of order 4. § 12 The quadratic chain complex of a product -- , Chapter IV. Quadratic modules and homotopy systems of order 4. Appendix A. Some diverse examples and applications of quadratic chain complexes -- , Chapter IV. Quadratic modules and homotopy systems of order 4. Appendix B. Quadratic chain complexes and simplicial groups -- , Chapter IV. Quadratic modules and homotopy systems of order 4. Appendix C. Reduced and stable quadratic modules -- , Chapter IV. Quadratic modules and homotopy systems of order 4. Appendix D. On the homotopy classification of semi free group actions -- , Chapter V. Cohomological invariants -- , Chapter VI. The cohomology of categories and the calculus of tracks -- , Bibliography -- , List of Symbols -- , Index , 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

URL: Cover