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Differentiable decompositions of manifolds into totally $ C\sp{\infty }$-path disconnected subsets


Author: M. V. Mielke
Journal: Proc. Amer. Math. Soc. 78 (1980), 439-442
MSC: Primary 57R22; Secondary 54C05, 58D15
MathSciNet review: 553391
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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 [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1980-0553391-2
Keywords: Continuous decomposition, differentiable decomposition, totally $ {C^s}$-path disconnected fiber
Article copyright: © Copyright 1980 American Mathematical Society