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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 | ||
| ||
Combinatorial methods in topology and algebraic geometry / / John R. Harper and Richard Mandelbaum, editors
| Combinatorial methods in topology and algebraic geometry / / John R. Harper and Richard Mandelbaum, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1985] |
| Descrizione fisica | 1 online resource (370 p.) |
| Disciplina | 514/.22 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Combinatorial topology
Geometry, Algebraic Combinatorial analysis |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-7629-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents ""; ""Introduction""; ""Plenary lectures""; ""List of participants""; ""Topology and Combinatorial Group Theory""; ""Collapses of K X I and Group Presentations""; ""On the Andrews-Curtis-Conjecture and related problems""; ""Integral representations of Aut Fn and presentation classes of groups""; ""A note on commutators and squares in free products""; ""Rigidity of almost crystallographic groups""; ""Finite graphs and free groups""; ""A topological proof of a theorem of Brunner and Burns about M. Hall groups""; ""Knot Theory""
""The Murasugi sum is a natural geometric operation II""""The Arf Invariant of classical knots""; ""The unknotting number of a classical knot""; ""A general position theorem for surfaces in Euclidean 4-space""; ""3-Manifolds""; ""On the equivariant Dehn lemma""; ""Virtually Haken manifolds""; ""Lectures on 3-fold simple coverings and 3-manifolds""; ""The Witt classes of Seifert manifolds""; ""Outermost forks and a theorem of Jaco""; ""Surfaces in 3-manifolds""; ""Homotopy Theory And Infinite Dimensional Topology""; ""Taming Hopf invariants"" ""Artin's braid groups and classical homotopy theory""""More compacta of infinite cohomological dimension""; ""Endomorphisms in the homotopy category""; ""Four Manifolds and Algebraic Surfaces""; ""On fake [S3xS'#S2 x S2]""; ""Manifolds having non-ample Norman bundles in quadrices""; ""Lefschetz fibrations of Riemann surfaces and decompositions of complex elliptic surfaces""; ""Algebraic surfaces and the arithmetic of braids, II""; ""A note on moves and on irregular coverings of S4"" |
| Record Nr. | UNINA-9910480263403321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1985] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Combinatorial methods in topology and algebraic geometry / / John R. Harper and Richard Mandelbaum, editors
| Combinatorial methods in topology and algebraic geometry / / John R. Harper and Richard Mandelbaum, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1985] |
| Descrizione fisica | 1 online resource (370 p.) |
| Disciplina | 514/.22 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Combinatorial topology
Geometry, Algebraic Combinatorial analysis |
| ISBN | 0-8218-7629-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Table of Contents -- Introduction -- Plenary lectures -- List of participants -- Topology and Combinatorial Group Theory -- Collapses of K X I and Group Presentations -- On the Andrews-Curtis-Conjecture and related problems -- Integral representations of Aut Fn and presentation classes of groups -- A note on commutators and squares in free products -- Rigidity of almost crystallographic groups -- Finite graphs and free groups -- A topological proof of a theorem of Brunner and Burns about M. Hall groups -- Knot Theory -- The Murasugi sum is a natural geometric operation II -- The Arf Invariant of classical knots -- The unknotting number of a classical knot -- A general position theorem for surfaces in Euclidean 4-space -- 3-Manifolds -- On the equivariant Dehn lemma -- Virtually Haken manifolds -- Lectures on 3-fold simple coverings and 3-manifolds -- The Witt classes of Seifert manifolds -- Outermost forks and a theorem of Jaco -- Surfaces in 3-manifolds -- Homotopy Theory And Infinite Dimensional Topology -- Taming Hopf invariants -- Artin's braid groups and classical homotopy theory -- More compacta of infinite cohomological dimension -- Endomorphisms in the homotopy category -- Four Manifolds and Algebraic Surfaces -- On fake [S3 x S' #S2 x S2] -- Manifolds having non-ample Norman bundles in quadrices -- Lefschetz fibrations of Riemann surfaces and decompositions of complex elliptic surfaces -- Algebraic surfaces and the arithmetic of braids, II -- A note on moves and on irregular coverings of S4. |
| Record Nr. | UNINA-9910788783503321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1985] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Combinatorial methods in topology and algebraic geometry / / John R. Harper and Richard Mandelbaum, editors
| Combinatorial methods in topology and algebraic geometry / / John R. Harper and Richard Mandelbaum, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1985] |
| Descrizione fisica | 1 online resource (370 p.) |
| Disciplina | 514/.22 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Combinatorial topology
Geometry, Algebraic Combinatorial analysis |
| ISBN | 0-8218-7629-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Table of Contents -- Introduction -- Plenary lectures -- List of participants -- Topology and Combinatorial Group Theory -- Collapses of K X I and Group Presentations -- On the Andrews-Curtis-Conjecture and related problems -- Integral representations of Aut Fn and presentation classes of groups -- A note on commutators and squares in free products -- Rigidity of almost crystallographic groups -- Finite graphs and free groups -- A topological proof of a theorem of Brunner and Burns about M. Hall groups -- Knot Theory -- The Murasugi sum is a natural geometric operation II -- The Arf Invariant of classical knots -- The unknotting number of a classical knot -- A general position theorem for surfaces in Euclidean 4-space -- 3-Manifolds -- On the equivariant Dehn lemma -- Virtually Haken manifolds -- Lectures on 3-fold simple coverings and 3-manifolds -- The Witt classes of Seifert manifolds -- Outermost forks and a theorem of Jaco -- Surfaces in 3-manifolds -- Homotopy Theory And Infinite Dimensional Topology -- Taming Hopf invariants -- Artin's braid groups and classical homotopy theory -- More compacta of infinite cohomological dimension -- Endomorphisms in the homotopy category -- Four Manifolds and Algebraic Surfaces -- On fake [S3 x S' #S2 x S2] -- Manifolds having non-ample Norman bundles in quadrices -- Lefschetz fibrations of Riemann surfaces and decompositions of complex elliptic surfaces -- Algebraic surfaces and the arithmetic of braids, II -- A note on moves and on irregular coverings of S4. |
| Record Nr. | UNINA-9910818823903321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1985] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Flächen und ebene diskontinuierliche Gruppen / H. Zieschang, E. Vogt, H.-D. Coldewey
| Flächen und ebene diskontinuierliche Gruppen / H. Zieschang, E. Vogt, H.-D. Coldewey |
| Autore | Zieschang, Heiner |
| Pubbl/distr/stampa | Berlin : Springer-Verlag, 1970 |
| Descrizione fisica | viii, 203 p. : ill. ; 26 cm |
| Disciplina | 512.22 |
| Altri autori (Persone) |
Coldewey, Hans-Dieter
Vogt, Elmar |
| Collana | Lecture notes in mathematics, 0075-8434 ; 122 |
| Soggetto topico |
Combinatorial topology
Discontinuous groups Free nonabelian groups Surfaces |
| Classificazione | AMS 20E |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ger |
| Record Nr. | UNISALENTO-991000896959707536 |
|
Zieschang, Heiner
|
||
| Berlin : Springer-Verlag, 1970 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Flächen und ebene diskontinuierliche Gruppen [e-book] / H. Zieschang, E. Vogt, H.-D. Coldewey
| Flächen und ebene diskontinuierliche Gruppen [e-book] / H. Zieschang, E. Vogt, H.-D. Coldewey |
| Autore | Zieschang, Heiner |
| Pubbl/distr/stampa | Berlin : Springer, 1970 |
| Descrizione fisica | 1 online resource |
| Disciplina | 512.22 |
| Altri autori (Persone) |
Coldewey, Hans-Dieter
Vogt, Elmar |
| Collana | Lecture notes in mathematics, 0075-8434 ; 122 |
| Soggetto topico |
Combinatorial topology
Discontinuous groups Free nonabelian groups Surfaces |
| Classificazione | AMS 20E |
| Formato | Software  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ger |
| Record Nr. | UNISALENTO-991003687369707536 |
|
Zieschang, Heiner
|
||
| Berlin : Springer, 1970 | ||
| Software | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Intuitive combinatorial topology / V. G. Boltyanskii, V. A. Efremovich ; translated from the Russian by Abe Shenitzer ; with the editorial assistance of John Stillwell
| Intuitive combinatorial topology / V. G. Boltyanskii, V. A. Efremovich ; translated from the Russian by Abe Shenitzer ; with the editorial assistance of John Stillwell |
| Autore | Boltyanskii, V. G. |
| Pubbl/distr/stampa | New York : Springer, c2001 |
| Descrizione fisica | xii, 141 p. : ill. ; cm |
| Disciplina | 514.22 |
| Altri autori (Persone) | Efremovich, V. A. |
| Collana | Universitext |
| Soggetto topico | Combinatorial topology |
| ISBN | 0387951148 |
| Classificazione |
AMS 57-01
AMS 54-01 AMS 55-01 LC QA612.B65 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001281819707536 |
|
Boltyanskii, V. G.
|
||
| New York : Springer, c2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Surfaces and planar discontinuous groups / / Heiner Zieschang, Elmar Vogt, Hans-Dieter Coldewey
| Surfaces and planar discontinuous groups / / Heiner Zieschang, Elmar Vogt, Hans-Dieter Coldewey |
| Autore | Zieschang Heiner |
| Edizione | [1st ed. 1980.] |
| Pubbl/distr/stampa | Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1980] |
| Descrizione fisica | 1 online resource (XII, 336 p.) |
| Disciplina | 514.2 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Discontinuous groups
Surfaces Combinatorial topology |
| ISBN | 3-540-69981-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Free groups and graphs -- 2-Dimensional complexes and combinatorial presentations of groups -- Surfaces -- Planar discontinuous groups -- Automorphisms of planar groups -- On the complex analytic theory of riemann surfaces and planar discontinuous groups -- On the topological theory of surfaces. |
| Record Nr. | UNISA-996466644003316 |
|
Zieschang Heiner
|
||
| Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1980] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Soggetto topico
-
Combinatorial topology
(11)
- Discontinuous groups (4)
- Surfaces (4)
- CW complexes (3)
- Combinatorial analysis (3)