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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...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés Francés |
| Publicado: |
Cambridge [Cambridgeshire] ; New York :
Cambridge University Press,
1987.
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| Colección: | London Mathematical Society lecture note series ;
99. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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. |
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| Notas: | Translation of: Méthodes de géométrie différentielle en topologie algébrique. |
| Descripción Física: | 1 online resource (363 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (page 360) and index. |
| ISBN: | 9781107361317 1107361311 0511629370 9780511629372 1139884220 9781139884228 1107366224 9781107366220 1107370957 9781107370951 1107369967 9781107369962 1299404022 9781299404021 1107363764 9781107363762 |
| ISSN: | 0076-0552 ; |