Screen LibraryCombinatorial homotopy and 4-dimensional complexes/
Combinatorial Homotopy and 4-Dimensional Complexes (Architektur Auf Naxos Und Paros)
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| Main Authors: | |
|---|---|
| Corporate Authors: | ; |
| Published: |
W. de Gruyter,
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| Publisher Address: | Berlin: |
| Publication Dates: | [2011] |
| Literature type: | eBook |
| Language: | English |
| Series: |
De gruyter expositions in mathematics
2 |
| Subjects: | |
| Online Access: |
http://dx.doi.org/10.1515/9783110854480 http://www.degruyter.com/doc/cover/9783110854480.jpg |
| Summary: |
Combinatorial Homotopy and 4-Dimensional Complexes (Architektur Auf Naxos Und Paros) |
| Item Description: | Includes bibliographical references (p. [369]-372) and index |
| Carrier Form: | 1 online ressource (xxvii, 380 pages): illustrations. |
| ISBN: | 9783110854480 |
| Index Number: | QA612 |
| CLC: | O189.23 |
| 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 |