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Autore: | Baues Hans J. <1943-> |
Titolo: | Combinatorial homotopy and 4-dimensional complexes [[electronic resource] /] / by Hans Joachim Baues |
Pubblicazione: | Berlin ; ; New York, : W. de Gruyter, 1991 |
Edizione: | Reprint 2011 |
Descrizione fisica: | 1 online resource (408 p.) |
Disciplina: | 514/.24 |
Soggetto topico: | Combinatorial topology |
CW complexes | |
Homotopy theory | |
Classificazione: | SK 300 |
Altri autori: | BrownRonald |
Note generali: | Description based upon print version of record. |
Nota di bibliografia: | Includes bibliographical references (p. [369]-372) and index. |
Nota di contenuto: | 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 |
Sommario/riassunto: | Combinatorial Homotopy and 4-Dimensional Complexes (Architektur Auf Naxos Und Paros) |
Titolo autorizzato: | Combinatorial homotopy and 4-dimensional complexes |
ISBN: | 3-11-085448-1 |
Formato: | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 9910785850503321 |
Lo trovi qui: | Univ. Federico II |
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