THE COHOMOLOGY RING OF A SMOOTH MANIFOLD.
WASHINGTON UNIV SEATTLE DEPT OF MATHEMATICS
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C. B. Allendorfer and J. Eells, Jr. have used pairs of singular differential forms to describe a cohomology theory alpha X,A for any smooth paracompact manifold. This theory strengthens the de Rham theory since the coefficient group A may be taken to be any subring of the reals. Their main result is that alpha X,A is canonically isomorphic to the Cech cohomology module HX,A of X with coefficients in A. The purpose of this paper is to describe a natural cup product for alpha X,A so that alpha X,A becomes a ring canonically isomorphic with the Cech cohomology ring HX,A. Author
- Theoretical Mathematics