Strongly Contractible Polyhedra which are Not Simply Contractible at n Points For any n≥ 2

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Authors

  • Satya Deo
     Harish-Chandra Research Institute (HRI), Chhatnag Road, Jhunsi, Allahabad-211 019 ,IN
  • Veerendra Vikram Awasthi
     Harish-Chandra Research Institute (HRI), Chhatnag Road, Jhunsi, Allahabad-211 019 ,IN

Abstract

In this paper we study the concept of strict contractibility defined by E. Michael and construct an example stated in the title of the paper. We also give examples of compact metric spaces in Euclidean 3-space which are simply contractible at n points, for any n ≥ 1, but are not strongly contractible at those points.

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Published

2005-12-01

How to Cite

Deo, S., & Awasthi, V. V. (2005). Strongly Contractible Polyhedra which are Not Simply Contractible at n Points For any n≥ 2. The Journal of the Indian Mathematical Society, 72(1-4), 75–82. Retrieved from https://www.informaticsjournals.com/index.php/jims/article/view/21818

Issue

Volume 72, Issue 1-4, January-December 2005

Section

Articles

License

Copyright (c) 2005 Satya Deo, Veerendra Vikram Awasthi

Creative Commons License

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