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.
| 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 | |
| State | Published - Jan 1 1980 |
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Keywords
- Continuous decomposition
- Differentiable decomposition
- Totally C-path disconnected fiber
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics
Cite this
Differentiate decompositions of manifolds into totally c∞-path disconnected subsets. / Mielke, Marvin.
In: Proceedings of the American Mathematical Society, Vol. 78, No. 3, 01.01.1980, p. 439-442.Research output: Contribution to journal › Article
}
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 -