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Proceedings of the American Mathematical Society

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A remark on Whitney's proof of de Rham's theorem


Author: Józef Dodziuk
Journal: Proc. Amer. Math. Soc. 54 (1976), 360-362
DOI: https://doi.org/10.1090/S0002-9939-1976-0397762-5
MathSciNet review: 0397762
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Abstract | References | Additional Information

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 [Enhancements On Off] (What's this?)

  • [G] W. Greub, S. Halperin and R. Vanstone, Connections, curvature, and cohomology. Vol. I, Academic Press, New York, 1972. MR 0400275 (53:4110)
  • [S] D. Sullivan, Differential forms and the topology of manifolds, Proc. Tokyo Conf. on Manifolds, 1973.
  • [W] H. Whitney, Geometric integration theory, Princeton Univ. Press, Princeton, N. J., 1957. MR 19, 309. MR 0087148 (19:309c)


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1976-0397762-5
Keywords: Differential forms, de Rham isomorphism
Article copyright: © Copyright 1976 American Mathematical Society

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