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Combinatorial homotopy and 4-dimensional complexes [[electronic resource] /] / by Hans Joachim Baues
| Combinatorial homotopy and 4-dimensional complexes [[electronic resource] /] / by Hans Joachim Baues |
| Autore | Baues Hans J. <1943-> |
| Edizione | [Reprint 2011] |
| Pubbl/distr/stampa | Berlin ; ; New York, : W. de Gruyter, 1991 |
| Descrizione fisica | 1 online resource (408 p.) |
| Disciplina | 514/.24 |
| Altri autori (Persone) | BrownRonald |
| Collana | De Gruyter Expositions in Mathematics |
| Soggetto topico |
Combinatorial topology
CW complexes Homotopy theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 3-11-085448-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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 |
| Record Nr. | UNINA-9910461886603321 |
Baues Hans J. <1943->
|
||
| Berlin ; ; New York, : W. de Gruyter, 1991 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Combinatorial homotopy and 4-dimensional complexes [[electronic resource] /] / by Hans Joachim Baues
| Combinatorial homotopy and 4-dimensional complexes [[electronic resource] /] / by Hans Joachim Baues |
| Autore | Baues Hans J. <1943-> |
| Edizione | [Reprint 2011] |
| Pubbl/distr/stampa | Berlin ; ; New York, : W. de Gruyter, 1991 |
| Descrizione fisica | 1 online resource (408 p.) |
| Disciplina | 514/.24 |
| Altri autori (Persone) | BrownRonald |
| Collana | De Gruyter Expositions in Mathematics |
| Soggetto topico |
Combinatorial topology
CW complexes Homotopy theory |
| ISBN | 3-11-085448-1 |
| Classificazione | SK 300 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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 |
| Record Nr. | UNINA-9910785850503321 |
|
Baues Hans J. <1943->
|
||
| Berlin ; ; New York, : W. de Gruyter, 1991 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Combinatorial homotopy and 4-dimensional complexes / / by Hans Joachim Baues
| Combinatorial homotopy and 4-dimensional complexes / / by Hans Joachim Baues |
| Autore | Baues Hans J. <1943-> |
| Edizione | [Reprint 2011] |
| Pubbl/distr/stampa | Berlin ; ; New York, : W. de Gruyter, 1991 |
| Descrizione fisica | 1 online resource (408 p.) |
| Disciplina | 514/.24 |
| Altri autori (Persone) | BrownRonald |
| Collana | De Gruyter Expositions in Mathematics |
| Soggetto topico |
Combinatorial topology
CW complexes Homotopy theory |
| ISBN | 3-11-085448-1 |
| Classificazione | SK 300 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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 |
| Record Nr. | UNINA-9910815995103321 |
|
Baues Hans J. <1943->
|
||
| Berlin ; ; New York, : W. de Gruyter, 1991 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||