Algebraic topology via differential geometry
By: M. Karoubi and C. Leruste.
Contributors: Leruste, C.
Series: London Mathematical Society lecture note series,; 99
Publisher: Cambridge University Press
Published: 1987
Place of publication: Cambridge [Cambridgeshire]; New York
Language: eng
Number of pages: 363
Subjects: Algebraic topology.; Geometry, Differential.
Description: 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.
Notes: Bibliography: p. 360.
Translation of: Méthodes de géométrie différentielle en topologie algébrique.
Includes index.