On subgroups of topologized fundamental groups and generalized coverings

Document Type : Research Paper

Authors

Department of Pure Mathematics‎, ‎Center of Excellence in Analysis on Algebraic Structures‎, ‎Ferdowsi University of Mashhad‎, ‎P.O.Box 1159-91775‎, ‎Mashhad‎, ‎Iran.

Abstract

‎In this paper‎, ‎we are interested in studying subgroups of topologized fundamental groups and their influences on generalized covering maps‎.
‎More precisely‎, ‎we find some relationships between generalized covering subgroups and the other famous subgroups of the fundamental group equipped with the compact-open topology and the whisker topology‎. ‎Moreover‎, ‎we present some conditions under which generalized coverings‎, ‎semicoverings and coverings are equal.

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References

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Bulletin of the Iranian Mathematical Society
Volume 43, Issue 7
December 2017
Pages 2349-2370

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History

  • Receive Date: 07 November 2016
  • Revise Date: 17 April 2017
  • Accept Date: 18 April 2017

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