K-Theory : an introduction
From the Preface: K-theory was introduced by A. Grothendieck in his formulation of the Riemann- Roch theorem. For each projective algebraic variety, Grothendieck constructed a group from the category of coherent algebraic sheaves, and showed that it had many nice properties. Atiyah and Hirzebruch co...
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| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Izdaja: | 1st ed. 1978. |
| Serija: | Classics in Mathematics
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| Teme: | |
| Online dostop: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Sporočilo: |
L'accès complet au document est réservé aux usagers des établissements qui en ont fait l'acquisition L'impression du document génère 314 p. Titre provenant de la page de titre du document numérisé Date de publication probable d après la date d acquisition Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • K-Theory, an introduction, Max Karoubi, Reprint of the 1978 edition, Berlin, Springer Verlag, 2008, 1 vol. (XVIII-308 p.), Classics in mathematics, ISSN 1431-0821, 978-3-540-79889-7 |
| Izvleček: | From the Preface: K-theory was introduced by A. Grothendieck in his formulation of the Riemann- Roch theorem. For each projective algebraic variety, Grothendieck constructed a group from the category of coherent algebraic sheaves, and showed that it had many nice properties. Atiyah and Hirzebruch con sidered a topological analog defined for any compact space X, a group K{X) constructed from the category of vector bundles on X. It is this ''topological K-theory" that this book will study. Topological K-theory has become an important tool in topology. Using K- theory, Adams and Atiyah were able to give a simple proof that the only spheres which can be provided with H-space structures are S1, S3 and S7. Moreover, it is possible to derive a substantial part of stable homotopy theory from K-theory. The purpose of this book is to provide advanced students and mathematicians in other fields with the fundamental material in this subject. In addition, several applications of the type described above are included. In general we have tried to make this book self-contained, beginning with elementary concepts wherever possible; however, we assume that the reader is familiar with the basic definitions of homotopy theory: homotopy classes of maps and homotopy groups.Thus this book might be regarded as a fairly self-contained introduction to a "generalized cohomology theory". |
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| Opis knjige/članka: | L'accès complet au document est réservé aux usagers des établissements qui en ont fait l'acquisition L'impression du document génère 314 p. Titre provenant de la page de titre du document numérisé Date de publication probable d après la date d acquisition Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Bibliografija: | Bibliogr. p. [301]-303. Index |
| ISBN: | 3540798900 9783540798903 |
| ISSN: | 2512-5257 |
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