Algebraic topology via differential geometry / M. Karoubi and C. Leruste.
Idioma: Inglés Lenguaje original: Francés Series London Mathematical Society lecture note series, 99Editor: Cambridge : Cambridge University Press, 1987Descripción: [x], 363 p. : il. ; 23 cmISBN: 0521317142 (pbk.)Títulos uniformes: Méthodes de géométrie différentielle en topologie algébrique. Inglés Tema(s): Algebraic topology | Geometry, DifferentialOtra clasificación: 57-01 (57R19 58A05 58A12) Recursos en línea: Publisher descriptionIntroduction1. Algebraic preliminaries2. Differential forms on an open subset of Rn3. Differentiable manifolds4. De Rham cohomology of differentiable manifolds5. Computing cohomology6. Poincaré duality - Lefschetz' theoremAppendix A. Stokes' theoremAppendix B. Chern character and non-commutative De Rham cohomology.
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Traducción de: Méthodes de géométrie différentielle en topologie algébrique.
Incluye referencias bibliográficas (p. 360) e índice.
Introduction -- 1. Algebraic preliminaries -- 2. Differential forms on an open subset of Rn -- 3. Differentiable manifolds -- 4. De Rham cohomology of differentiable manifolds -- 5. Computing cohomology -- 6. Poincaré duality - Lefschetz' theorem -- Appendix A. Stokes' theorem -- Appendix B. Chern character and non-commutative De Rham cohomology.
MR, 88k:57001
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