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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 | ||
| ||
Geometry of loop spaces and the cobar construction / / by H.J. Baues
| Geometry of loop spaces and the cobar construction / / by H.J. Baues |
| Autore | Baues Hans J. <1943-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1980] |
| Descrizione fisica | 1 online resource (194 p.) |
| Disciplina |
510 s
514/.224 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Loop spaces
Cobar construction (Topology) Functor theory Complexes, Semisimplicial |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0634-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Prologue""; ""Chapter I: The bar and cobar constructions""; ""Â 1 The geometric bar construction""; ""Â 2 The geometric cobar construction for simplicial spaces""; ""Â 3 The algebraic bar and cobar constructions""; ""Appendix 1: The cobar construction of Adams""; ""Appendix 2: Loop spaces of projective spaces""; ""Â 4 Adjunction and strongly homotopy multiplicative maps""; ""Chapter II: A model theorem for loop spaces""; ""Â 1 Realization of functors""; ""Appendix: DI categories with retractions""; ""Â 2 A model theorem for loop spaces""
""Â 3 Approximation of path spaces""""Â 4 Proof of the model theorem""; ""Chapter III: On the desuspension of model functors""; ""Â 1 Abstract complexes""; ""Â 2 Model functors and their desuspension by cellular strings""; ""Appendix: Reduced model functors and iterated loop spaces""; ""Â 3 Cellular strings in the simplex""; ""Â 4 Cellular strings in the cube""; ""Â 5 Simplicial subdivision of cubes and cubical subdivision of parallelohedra""; ""Â 6 Cellular strings in products of simplices""; ""Â 7 Cellular strings in the parallelohedron C[sup(n)] ""; ""Chapter IV: Applications"" |
| Record Nr. | UNINA-9910479916603321 |
|
Baues Hans J. <1943->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1980] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometry of loop spaces and the cobar construction / / by H.J. Baues
| Geometry of loop spaces and the cobar construction / / by H.J. Baues |
| Autore | Baues Hans J. <1943-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1980] |
| Descrizione fisica | 1 online resource (194 p.) |
| Disciplina |
510 s
514/.224 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Loop spaces
Cobar construction (Topology) Functor theory Complexes, Semisimplicial |
| ISBN | 1-4704-0634-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Prologue""; ""Chapter I: The bar and cobar constructions""; ""Â 1 The geometric bar construction""; ""Â 2 The geometric cobar construction for simplicial spaces""; ""Â 3 The algebraic bar and cobar constructions""; ""Appendix 1: The cobar construction of Adams""; ""Appendix 2: Loop spaces of projective spaces""; ""Â 4 Adjunction and strongly homotopy multiplicative maps""; ""Chapter II: A model theorem for loop spaces""; ""Â 1 Realization of functors""; ""Appendix: DI categories with retractions""; ""Â 2 A model theorem for loop spaces""
""Â 3 Approximation of path spaces""""Â 4 Proof of the model theorem""; ""Chapter III: On the desuspension of model functors""; ""Â 1 Abstract complexes""; ""Â 2 Model functors and their desuspension by cellular strings""; ""Appendix: Reduced model functors and iterated loop spaces""; ""Â 3 Cellular strings in the simplex""; ""Â 4 Cellular strings in the cube""; ""Â 5 Simplicial subdivision of cubes and cubical subdivision of parallelohedra""; ""Â 6 Cellular strings in products of simplices""; ""Â 7 Cellular strings in the parallelohedron C[sup(n)] ""; ""Chapter IV: Applications"" |
| Record Nr. | UNINA-9910788893803321 |
|
Baues Hans J. <1943->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1980] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometry of loop spaces and the cobar construction / / by H.J. Baues
| Geometry of loop spaces and the cobar construction / / by H.J. Baues |
| Autore | Baues Hans J. <1943-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1980] |
| Descrizione fisica | 1 online resource (194 p.) |
| Disciplina |
510 s
514/.224 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Loop spaces
Cobar construction (Topology) Functor theory Complexes, Semisimplicial |
| ISBN | 1-4704-0634-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Prologue""; ""Chapter I: The bar and cobar constructions""; ""Â 1 The geometric bar construction""; ""Â 2 The geometric cobar construction for simplicial spaces""; ""Â 3 The algebraic bar and cobar constructions""; ""Appendix 1: The cobar construction of Adams""; ""Appendix 2: Loop spaces of projective spaces""; ""Â 4 Adjunction and strongly homotopy multiplicative maps""; ""Chapter II: A model theorem for loop spaces""; ""Â 1 Realization of functors""; ""Appendix: DI categories with retractions""; ""Â 2 A model theorem for loop spaces""
""Â 3 Approximation of path spaces""""Â 4 Proof of the model theorem""; ""Chapter III: On the desuspension of model functors""; ""Â 1 Abstract complexes""; ""Â 2 Model functors and their desuspension by cellular strings""; ""Appendix: Reduced model functors and iterated loop spaces""; ""Â 3 Cellular strings in the simplex""; ""Â 4 Cellular strings in the cube""; ""Â 5 Simplicial subdivision of cubes and cubical subdivision of parallelohedra""; ""Â 6 Cellular strings in products of simplices""; ""Â 7 Cellular strings in the parallelohedron C[sup(n)] ""; ""Chapter IV: Applications"" |
| Record Nr. | UNINA-9910818942103321 |
|
Baues Hans J. <1943->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1980] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Obstruction theory : on Homotopy Classification of Maps / / by Hans J. Baues
| Obstruction theory : on Homotopy Classification of Maps / / by Hans J. Baues |
| Autore | Baues Hans J. <1943-> |
| Edizione | [1st ed. 1977.] |
| Pubbl/distr/stampa | Berlin : , : Springer-Verlag, , [1977] |
| Descrizione fisica | 1 online resource (XII, 388 p.) |
| Disciplina | 510 |
| Collana | Lecture notes in mathematics |
| Soggetto topico | Mathematics |
| ISBN | 3-540-35979-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Conventions and notation -- Principal fibrations and cofibrations, obstructions and differences -- Relative principal cofibrations and fibrations -- Iterated principal cofibrations -- Obstruction theory for CW-complexes -- Postnikov homotopy decomposition -- Iterated principal fibrations. |
| Record Nr. | UNISA-996466519003316 |
|
Baues Hans J. <1943->
|
||
| Berlin : , : Springer-Verlag, , [1977] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||