Spaces of embeddings of noncompact manifolds

Assakta Khalil, Abd. Ghafur Ahmad

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 Dc(M).

Original languageEnglish
Title of host publication4th International Conference on Mathematical Sciences - Mathematical Sciences
Subtitle of host publicationChampioning the Way in a Problem Based and Data Driven Society, ICMS 2016
PublisherAmerican Institute of Physics Inc.
Volume1830
ISBN (Electronic)9780735414983
DOIs
Publication statusPublished - 27 Apr 2017
Event4th 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 201617 Nov 2016

Other

Other4th International Conference on Mathematical Sciences - Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society, ICMS 2016
CountryMalaysia
CityPutrajaya
Period15/11/1617/11/16

Fingerprint

unions
embedding
infinity
fibers

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Khalil, A., & Ahmad, A. G. (2017). Spaces of embeddings of noncompact manifolds. In 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.

4th International Conference on Mathematical Sciences - Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society, ICMS 2016. Vol. 1830 American Institute of Physics Inc., 2017. 070003.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Khalil, A & Ahmad, AG 2017, Spaces of embeddings of noncompact manifolds. in 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
Khalil A, Ahmad AG. Spaces of embeddings of noncompact manifolds. In 4th International Conference on Mathematical Sciences - Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society, ICMS 2016. Vol. 1830. American Institute of Physics Inc. 2017. 070003 https://doi.org/10.1063/1.4980952
Khalil, Assakta ; Ahmad, Abd. Ghafur. / Spaces of embeddings of noncompact manifolds. 4th International Conference on Mathematical Sciences - Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society, ICMS 2016. Vol. 1830 American Institute of Physics Inc., 2017.
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