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.
General
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