Algebraic topology via differential geometry
M. Karoubi and C. Leruste.
Cambridge : Cambridge University Press, 1987.
[x], 363 págs. : ilustraciones ; 23 cm.
Serie: London Mathematical Society lecture note series, ISSN 0076-0552 ; 99
ISBN: 0521317142 (pbk.)
Traducción de: Méthodes de géométrie différentielle en topologie algébrique.
Incluye referencias bibliográficas (p. 360) e índice.
Reseña: MathSciNet, 88k:57001
Contenido
- 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.
