# Algebraic topology via differential geometry / M. Karoubi, C. Leruste

Type de document : MonographieCollection : London Mathematical Society lecture note series, 99Langue : anglais.Pays: Grande Bretagne.Éditeur : Cambridge : Cambridge University Press, 1989Description : 1 vol. (363 p.) ; 23 cmISBN: 9780521317146.ISSN: 0076-0552.Bibliographie : Bibliogr. p.360. Index.Sujet MSC : 55N35, Homology and cohomology theories in algebraic topology, Other homology theories57R19, Manifolds and cell complexes, Algebraic topology on manifolds and differential topology

58A12, Global analysis, analysis on manifolds - General theory of differentiable manifolds, de Rham theory in global analysis

55M05, Classical topics in algebraic topology, Duality

55M20, Classical topics in algebraic topology, Fixed points and coincidences

55U25, Applied homological algebra and category theory in algebraic topology, Homology of a product, Künneth formulaEn-ligne : Zentralblatt | MathSciNet | CUP

Item type | Current library | Call number | Status | Date due | Barcode |
---|---|---|---|---|---|

Monographie | CMI Salle 1 | 55 KAR (Browse shelf(Opens below)) | Available | 10338-01 |

Bibliogr. p.360. Index

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. (source : CUP)

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