### 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 | |

State | Published - Jan 1 1980 |

### Fingerprint

### 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.

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 -