Spaces of Homotopy Self-Equivalences : A Survey
This survey covers groups of homotopy self-equivalence classes of topological spaces, and the homotopy type of spaces of homotopy self-equivalences. For manifolds, the full group of equivalences and the mapping class group are compared, as are the corresponding spaces. Included are methods of calcul...
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|---|---|
| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Serier: | Lecture notes in mathematics
1662 |
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| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Spaces of homotopy self-equivalences, a survey, John W. Rutter, 1997, Berlin, Springer, 1 volume (IX-170 pages), Lecture notes in mathematics, 3-540-63103-8 • Spaces of Homotopy Self-Equivalences - A Survey, Texte imprimé, 9783662166123 |
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| 020 | |a 9783540691358 (PDF) | ||
| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 100 | 1 | |a Rutter, John W., |d 1935- | |
| 245 | 1 | 0 | |a Spaces of Homotopy Self-Equivalences : |b A Survey |c John W. Rutter. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1662 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Preliminaries -- Building blocks -- Representations: homology and homotopy -- Surfaces -- Generators: surface, modular groups -- Manifolds of dimension three or more -- ?*(X) not finitely generated -- Localization -- ?*(X) finitely presented, nilpotent -- L-R duality -- Cellular/homology complexes: methods -- Cellular, homology complexes: calculations -- Non-1-connected postnikov: methods -- Homotopy systems, chain complexes -- Non-1-connected spaces: calculations -- Whitehead torsion, simple homotopy -- Unions and products -- Group theoretic properties -- Homotopy type, homotopy groups -- Homotopy automorphisms of H-spaces -- Fibre and equivariant HE s -- Applications. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This survey covers groups of homotopy self-equivalence classes of topological spaces, and the homotopy type of spaces of homotopy self-equivalences. For manifolds, the full group of equivalences and the mapping class group are compared, as are the corresponding spaces. Included are methods of calculation, numerous calculations, finite generation results, Whitehead torsion and other areas. Some 330 references are given. The book assumes familiarity with cell complexes, homology and homotopy. Graduate students and established researchers can use it for learning, for reference, and to determine the current state of knowledge. | ||
| 650 | |a Mathématiques | ||
| 650 | |a Homologie | ||
| 650 | |a Groupes modulaires | ||
| 650 | |a Topologie algébrique | ||
| 650 | |a Homotopie | ||
| 776 | 0 | |0 03083693X |t Spaces of homotopy self-equivalences |o a survey |f John W. Rutter |d 1997 |c Berlin |n Springer |p 1 volume (IX-170 pages) |s Lecture notes in mathematics |z 3-540-63103-8 | |
| 776 | 0 | |t Spaces of Homotopy Self-Equivalences - A Survey |b Texte imprimé |z 9783662166123 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0093736 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-Z8RD9B07-M |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750658428 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0093736 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754008169 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0093736 |z Accès INSA CVL | |
| 997 | |0 970896 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||