Combinatorial Homotopy and 4-Dimensional Complexes / / Hans-Joachim Baues.

• Superior document: Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package
• VerfasserIn: Baues, Hans-Joachim,
• MitwirkendeR: Brown, Ronald,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2011]; ©1991
• Year of Publication: 2011
• Edition: Reprint 2011
• Language: English
• Series: De Gruyter Expositions in Mathematics , 2
• Physical Description: 1 online resource (380 p.)
• Other title: 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110854480; 9783110494969; 9783110637199; 9783110233957
• ISSN: 0938-6572
• DOI: 10.1515/9783110854480
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Hans-Joachim Baues.