TY  - BOOK
AU  - Karoubi,M.
AU  - Leruste,C.
TI  - Algebraic Topology via Differential Geometry
T2  - London Mathematical Society Lecture Note Series
SN  - 9780511629372 (ebook)
AV  - QA612  .K3613 1987
U1  - n/a n/a
PY  - 1988///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Algebraic topology
KW  - Geometry, Differential
N1  - Title from publisher's bibliographic system (viewed on 16 Oct 2015)
N2  - 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
UR  - http://dx.doi.org/10.1017/CBO9780511629372
ER  -