### Abstract

Let M signifies smooth, non-compact manifold without boundary of dimension greater or equal to 5. Assuming that M has a finite number of tame ends and a neighbourhood U of infinity at each end, let D (M) be the simplicial group of self-diffeomorphisms of M. The results showed the existence of a fibration map from D (M) to the disjoint union of D (U) with homotopy fibre equivalent to the space of diffeomorphisms with compact support D_{c}(M).

Original language | English |
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Title of host publication | 4th International Conference on Mathematical Sciences - Mathematical Sciences |

Subtitle of host publication | Championing the Way in a Problem Based and Data Driven Society, ICMS 2016 |

Publisher | American Institute of Physics Inc. |

Volume | 1830 |

ISBN (Electronic) | 9780735414983 |

DOIs | |

Publication status | Published - 27 Apr 2017 |

Event | 4th International Conference on Mathematical Sciences - Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society, ICMS 2016 - Putrajaya, Malaysia Duration: 15 Nov 2016 → 17 Nov 2016 |

### Other

Other | 4th International Conference on Mathematical Sciences - Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society, ICMS 2016 |
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Country | Malaysia |

City | Putrajaya |

Period | 15/11/16 → 17/11/16 |

### Fingerprint

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*4th International Conference on Mathematical Sciences - Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society, ICMS 2016*(Vol. 1830). [070003] American Institute of Physics Inc.. https://doi.org/10.1063/1.4980952

**Spaces of embeddings of noncompact manifolds.** / Khalil, Assakta; Ahmad, Abd. Ghafur.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*4th International Conference on Mathematical Sciences - Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society, ICMS 2016.*vol. 1830, 070003, American Institute of Physics Inc., 4th International Conference on Mathematical Sciences - Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society, ICMS 2016, Putrajaya, Malaysia, 15/11/16. https://doi.org/10.1063/1.4980952

}

TY - GEN

T1 - Spaces of embeddings of noncompact manifolds

AU - Khalil, Assakta

AU - Ahmad, Abd. Ghafur

PY - 2017/4/27

Y1 - 2017/4/27

N2 - Let M signifies smooth, non-compact manifold without boundary of dimension greater or equal to 5. Assuming that M has a finite number of tame ends and a neighbourhood U of infinity at each end, let D (M) be the simplicial group of self-diffeomorphisms of M. The results showed the existence of a fibration map from D (M) to the disjoint union of D (U) with homotopy fibre equivalent to the space of diffeomorphisms with compact support Dc(M).

AB - Let M signifies smooth, non-compact manifold without boundary of dimension greater or equal to 5. Assuming that M has a finite number of tame ends and a neighbourhood U of infinity at each end, let D (M) be the simplicial group of self-diffeomorphisms of M. The results showed the existence of a fibration map from D (M) to the disjoint union of D (U) with homotopy fibre equivalent to the space of diffeomorphisms with compact support Dc(M).

UR - http://www.scopus.com/inward/record.url?scp=85019453699&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85019453699&partnerID=8YFLogxK

U2 - 10.1063/1.4980952

DO - 10.1063/1.4980952

M3 - Conference contribution

VL - 1830

BT - 4th International Conference on Mathematical Sciences - Mathematical Sciences

PB - American Institute of Physics Inc.

ER -