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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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Differentiable decompositions of manifolds into totally $C^{\infty }$-path disconnected subsets
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by M. V. Mielke PDF
Proc. Amer. Math. Soc. 78 (1980), 439-442 Request permission

Abstract:

For ${C^\infty }$-manifolds M, N, the set of all ${C^s}$-maps $M \to N$ with totally ${C^\infty }$-path disconnected fibers is shown to be dense in the set of all ${C^s}$-maps $M \to N$, if $\dim N > 0$.
References
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Additional Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 78 (1980), 439-442
  • MSC: Primary 57R22; Secondary 54C05, 58D15
  • DOI: https://doi.org/10.1090/S0002-9939-1980-0553391-2
  • MathSciNet review: 553391