On the Fiber Homotopy Equivalence of Two Fibrations

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Authors

  • Suliman Dawood
     Department of Mathematical Sciences, Hodeidah University, Hodeidah ,YE

Keywords:

Fibration, Homotopy Group, Homotopy Equivalence.
Set Theory

Abstract

Given two fibrations P:E → B and P' : E' → B with the same fiber Fbo at bo ∈ B one constructs two associated fibrations NPeo → Fbo and NP'eo → Fbo, eo ∈ Fbo, and show that, under some connectivity assumptions on the spaces concerned a homeomorphism g : Fbo → Fbo induces a fiber homotopy equivalence between [NPeo]g and NP'g(eo).

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Published

2015-12-01

How to Cite

Dawood, S. (2015). On the Fiber Homotopy Equivalence of Two Fibrations. The Journal of the Indian Mathematical Society, 82(3-4), 53–63. Retrieved from https://informaticsjournals.com/index.php/jims/article/view/1682

Issue

Volume 82, Issue 3-4, July-December 2015

Section

Articles

License

Copyright (c) 2015 Suliman Dawood

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 

References

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