On subgroups of topologized fundamental groups and generalized coverings

نویسندگان

  • B. Mashayekhy Department of Pure Mathematics‎, ‎Center of Excellence in Analysis on Algebraic Structures‎, ‎Ferdowsi University of Mashhad‎, ‎P.O.Box 1159-91775‎, ‎Mashhad‎, ‎Iran.
  • H. Torabi Department of Pure Mathematics‎, ‎Center of Excellence in Analysis on Algebraic Structures‎, ‎Ferdowsi University of Mashhad‎, ‎P.O.Box 1159-91775‎, ‎Mashhad‎, ‎Iran.
  • M. Abdullahi Rashid Department of Pure Mathematics‎, ‎Center of Excellence in Analysis on Algebraic Structures‎, ‎Ferdowsi University of Mashhad‎, ‎P.O.Box 1159-91775‎, ‎Mashhad‎, ‎Iran.
  • S. Z. Pashaei Department of Pure Mathematics‎, ‎Center of Excellence in Analysis on Algebraic Structures‎, ‎Ferdowsi University of Mashhad‎, ‎P.O.Box 1159-91775‎, ‎Mashhad‎, ‎Iran.
چکیده مقاله:

‎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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عنوان ژورنال

دوره 43  شماره 7

صفحات  2349- 2370

تاریخ انتشار 2017-12-30

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