Algebraic topology via differential geometry:
In this volume the authors seek to illustrate how methods of differential geometry find application in the study of the topology of differential manifolds. Prerequisites are few since the authors take pains to set out the theory of differential forms and the algebra required. The reader is introduce...
Gespeichert in:
| Beteilige Person: | |
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| Format: | E-Book |
| Sprache: | Englisch Französisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1987
|
| Schriftenreihe: | London Mathematical Society lecture note series
99 |
| Links: | https://doi.org/10.1017/CBO9780511629372 |
| Zusammenfassung: | In this volume the authors seek to illustrate how methods of differential geometry find application in the study of the topology of differential manifolds. Prerequisites are few since the authors take pains to set out the theory of differential forms and the algebra required. The reader is introduced to De Rham cohomology, and explicit and detailed calculations are present as examples. Topics covered include Mayer-Vietoris exact sequences, relative cohomology, Pioncare duality and Lefschetz's theorem. This book will be suitable for graduate students taking courses in algebraic topology and in differential topology. Mathematicians studying relativity and mathematical physics will find this an invaluable introduction to the techniques of differential geometry. |
| Umfang: | 1 Online-Ressource (363 Seiten) |
| ISBN: | 9780511629372 |
Internformat
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| spelling | Karoubi, Max Méthodes de géométrie différentielle en topologie algébrique. English Algebraic topology via differential geometry M. Karoubi and C. Leruste Cambridge Cambridge University Press 1987 1 Online-Ressource (363 Seiten) txt c cr London Mathematical Society lecture note series 99 In this volume the authors seek to illustrate how methods of differential geometry find application in the study of the topology of differential manifolds. Prerequisites are few since the authors take pains to set out the theory of differential forms and the algebra required. The reader is introduced to De Rham cohomology, and explicit and detailed calculations are present as examples. Topics covered include Mayer-Vietoris exact sequences, relative cohomology, Pioncare duality and Lefschetz's theorem. This book will be suitable for graduate students taking courses in algebraic topology and in differential topology. Mathematicians studying relativity and mathematical physics will find this an invaluable introduction to the techniques of differential geometry. Leruste, C. Erscheint auch als Druck-Ausgabe 9780521317146 |
| spellingShingle | Karoubi, Max Algebraic topology via differential geometry |
| title | Algebraic topology via differential geometry |
| title_alt | Méthodes de géométrie différentielle en topologie algébrique. |
| title_auth | Algebraic topology via differential geometry |
| title_exact_search | Algebraic topology via differential geometry |
| title_full | Algebraic topology via differential geometry M. Karoubi and C. Leruste |
| title_fullStr | Algebraic topology via differential geometry M. Karoubi and C. Leruste |
| title_full_unstemmed | Algebraic topology via differential geometry M. Karoubi and C. Leruste |
| title_short | Algebraic topology via differential geometry |
| title_sort | algebraic topology via differential geometry |
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