Kooperativer Bibliotheksverbund

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Umfang: 1 online resource (408 p.)

Ausgabe: Reprint 2011

ISBN: 3-11-085448-1

Serie: De Gruyter Expositions in Mathematics ; 2

Inhalt: Combinatorial Homotopy and 4-Dimensional Complexes (Architektur Auf Naxos Und Paros)

Anmerkung: Description based upon print version of record. , Front matter -- , 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. , English

Weitere Ausg.: ISBN 3-11-012488-2

Sprache: Englisch

Fachgebiete: Mathematik

DOI: 10.1515/9783110854480