Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

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



Chain homotopy and the de Rham theory

Authors: V. K. A. M. Gugenheim and D. C. Spencer
Journal: Proc. Amer. Math. Soc. 7 (1956), 144-152
MSC: Primary 53.0X
MathSciNet review: 0087150
Full-text PDF

References | Similar Articles | Additional Information

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

  • [1] G. de Rham and K. Kodaira, Harmonie integrals, Princeton, Institute for Advanced Study, 1950 (Polycopied).
  • [2] S. Eilenberg and N. E. Steenrod, Foundations of algebraic topology, Princeton, 1952.
  • [3] N. E. Steenrod, Homology groups of symmetric groups and reduced power operations, Proc. Nat. Acad. Sci. U. S. A. 39 (1953), 213–217. MR 0054964
  • [4] -, The topology of fibre bundles, Princeton, 1951.
  • [5] D. C. Spencer, Potential theory and almost-complex manifolds, Lectures on functions of a complex variable, The University of Michigan Press, Ann Arbor, 1955, pp. 15–43. MR 0090091
  • [6] Charles Ehresmann, Sur les variétés presque complexes, Proceedings of the International Congress of Mathematicians, Cambridge, Mass., 1950, vol. 2, Amer. Math. Soc., Providence, R. I., 1952, pp. 412–419 (French). MR 0045383
  • [7] G. de Rham, Variétés différentiables, Paris, Hermann, 1955.
  • [8] P. R. Garabedian and D. C. Spencer, A complex tensor calculus for Kähler manifolds, Acta Math. 89 (1953), 279–331. MR 0063119,
  • [9] Jean-Pierre Serre, Un théorème de dualité, Comment. Math. Helv. 29 (1955), 9–26 (French). MR 0067489,
  • [10] Claude Chevalley, Theory of Lie groups. I, Princeton University Press, Princeton, N. J., 1946 1957. MR 0082628
  • [11] K. Kodaira, On cohomology groups of compact analytic varieties with coefficients in some analytic faisceaux, Proc. Nat. Acad. Sci. U. S. A. 39 (1953), 865–868. MR 0063120

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 53.0X

Retrieve articles in all journals with MSC: 53.0X

Additional Information

Article copyright: © Copyright 1956 American Mathematical Society