Boundedly Controlled Topology : Foundations of Algebraic Topology and Simple Homotopy Theory
Several recent investigations have focused attention on spaces and manifolds which are non-compact but where the problems studied have some kind of "control near infinity". This monograph introduces the category of spaces that are "boundedly controlled" over the (usually non-comp...
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Livre numérique |
| Lenguaje: | Anglais |
| Publicado: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Colección: | Lecture notes in mathematics
1323 |
| Materias: | |
| Acceso en línea: | 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: | • Boundedly controlled topology, foundations of algebraic topology and simple homotopy theory, Douglas R. Anderson, Hans J. Munkholm, 1988, Berlin, Springer, 1 volume (XII-309 pages), Lecture notes in mathematics, 3-540-19397-9 • Boundedly Controlled Topology, Texte imprimé, 9783662174098 |
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| 084 | |a 57Q10. 1980 | ||
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| 100 | 1 | |a Anderson, Douglas Ross, |d 1940- | |
| 245 | 1 | 0 | |a Boundedly Controlled Topology : |b Foundations of Algebraic Topology and Simple Homotopy Theory |c Douglas R. Anderson, Hans J. Munkholm. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1323 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Category theoretic foundations -- The algebraic topology of boundedly controlled spaces -- The geometric, boundedly controlled whitehead group -- Free and projective rpg modules the algebraic whitehead groups of rpg -- The isomorphism between the geometric and algebraic whitehead groups -- Boundedly controlled manifolds and the s-cobordism theorem -- Toward computations. | |
| 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 Several recent investigations have focused attention on spaces and manifolds which are non-compact but where the problems studied have some kind of "control near infinity". This monograph introduces the category of spaces that are "boundedly controlled" over the (usually non-compact) metric space Z. It sets out to develop the algebraic and geometric tools needed to formulate and to prove boundedly controlled analogues of many of the standard results of algebraic topology and simple homotopy theory. One of the themes of the book is to show that in many cases the proof of a standard result can be easily adapted to prove the boundedly controlled analogue and to provide the details, often omitted in other treatments, of this adaptation. For this reason, the book does not require of the reader an extensive background. In the last chapter it is shown that special cases of the boundedly controlled Whitehead group are strongly related to lower K-theoretic groups, and the boundedly controlled theory is compared to Siebenmann's proper simple homotopy theory when Z = IR or IR2. | ||
| 650 | |a Complexes (mathématiques) | ||
| 650 | |a Topologie algébrique | ||
| 650 | |a Homotopie | ||
| 650 | |a Catégories (mathématiques) | ||
| 650 | |a Topologie linéaire par morceaux | ||
| 700 | 1 | |a Munkholm, Hans Jørgen, |d 1940- |4 aut | |
| 776 | 0 | |0 020752601 |t Boundedly controlled topology |o foundations of algebraic topology and simple homotopy theory |f Douglas R. Anderson, Hans J. Munkholm |d 1988 |c Berlin |n Springer |p 1 volume (XII-309 pages) |s Lecture notes in mathematics |z 3-540-19397-9 | |
| 776 | 0 | |t Boundedly Controlled Topology |b Texte imprimé |z 9783662174098 | |
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| 997 | |0 973228 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||