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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A remark on Whitney’s proof of de Rham’s theorem
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by Józef Dodziuk PDF
Proc. Amer. Math. Soc. 54 (1976), 360-362 Request permission

Abstract:

The PL differential forms are used to prove that the mapping induced on cohomology by pull-back of differential forms corresponds under the de Rham isomorphism to the pull-back of cohomology classes.
References
  • Werner Greub, Stephen Halperin, and Ray Vanstone, Connections, curvature, and cohomology, Pure and Applied Mathematics, Vol. 47-III, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1976. Volume III: Cohomology of principal bundles and homogeneous spaces. MR 0400275
    • D. Sullivan, Differential forms and the topology of manifolds, Proc. Tokyo Conf. on Manifolds, 1973.
  • Hassler Whitney, Geometric integration theory, Princeton University Press, Princeton, N. J., 1957. MR 0087148, DOI 10.1515/9781400877577
Additional Information
  • © Copyright 1976 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 54 (1976), 360-362
  • DOI: https://doi.org/10.1090/S0002-9939-1976-0397762-5
  • MathSciNet review: 0397762