Differentiate decompositions of manifolds into totally c∞-path disconnected subsets

M. V. Mielke

doi:10.1090/S0002-9939-1980-0553391-2

Differentiate decompositions of manifolds into totally c^∞-path disconnected subsets

M. V. Mielke

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

For C^∞-manifolds M, N, the set of all C^s-maps M →N with totally C^∞-path disconnected fibers is shown to be dense in the set of all C^s-maps M → N, if dim N > 0.

Original language	English (US)
Pages (from-to)	439-442
Number of pages	4
Journal	Proceedings of the American Mathematical Society
Volume	78
Issue number	3
DOIs	https://doi.org/10.1090/S0002-9939-1980-0553391-2
State	Published - Mar 1980

Keywords

Continuous decomposition
Differentiable decomposition
Totally C-path disconnected fiber

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9939-1980-0553391-2

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title = "Differentiate decompositions of manifolds into totally c∞-path disconnected subsets",

abstract = "For C∞-manifolds M, N, the set of all Cs-maps M →N with totally C∞-path disconnected fibers is shown to be dense in the set of all Cs-maps M → N, if dim N > 0.",

keywords = "Continuous decomposition, Differentiable decomposition, Totally C-path disconnected fiber",

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