Combinatorial Homotopy and 4-Dimensional Complexes /

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

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Bibliographic Details
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
Online Access:
Physical Description:1 online resource (380 p.)
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Table of Contents:
  • 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

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