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

Marvin Mielke

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

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

Marvin Mielke

Mathematics

Research output: Contribution to journal › Article

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 - Jan 1 1980

Keywords

Continuous decomposition
Differentiable decomposition
Totally C-path disconnected fiber

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

Access to Document

10.1090/S0002-9939-1980-0553391-2

Fingerprint Dive into the research topics of 'Differentiate decompositions of manifolds into totally c<sup>∞</sup>-path disconnected subsets'. Together they form a unique fingerprint.

Cite this

Mielke, M. (1980). Differentiate decompositions of manifolds into totally c^∞-path disconnected subsets. Proceedings of the American Mathematical Society, 78(3), 439-442. https://doi.org/10.1090/S0002-9939-1980-0553391-2

@article{284804ac70d34faea9bc26d971b2055c,

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",

author = "Marvin Mielke",

year = "1980",

month = jan,

day = "1",

doi = "10.1090/S0002-9939-1980-0553391-2",

language = "English (US)",

volume = "78",

pages = "439--442",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "3",

}

TY - JOUR

T1 - Differentiate decompositions of manifolds into totally c∞-path disconnected subsets

AU - Mielke, Marvin

PY - 1980/1/1

Y1 - 1980/1/1

N2 - 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.

AB - 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.

KW - Continuous decomposition

KW - Differentiable decomposition

KW - Totally C-path disconnected fiber

UR - http://www.scopus.com/inward/record.url?scp=84966198810&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84966198810&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-1980-0553391-2

DO - 10.1090/S0002-9939-1980-0553391-2

M3 - Article

AN - SCOPUS:84966198810

VL - 78

SP - 439

EP - 442

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 3

ER -