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Acta Mathematica Vietnamica

, Volume 42, Issue 4, pp 653–663 | Cite as

When is a Local Homeomorphism a Semicovering Map?

  • Majid Kowkabi
  • Behrooz MashayekhyEmail author
  • Hamid Torabi
Article

Abstract

In this paper, by reviewing the concept of semicovering maps, we present some conditions under which a local homeomorphism becomes a semicovering map. We also obtain some conditions under which a local homeomorphism is a covering map.

Keywords

Local homeomorphism Fundamental group Covering map Semicovering map 

Mathematics Subject Classification (2010)

57M10 57M12 57M05 

Notes

Acknowledgements

The authors would like to thank the referee for his/her careful reading and useful suggestions.

This research was supported by a grant from Ferdowsi University of Mashhad-Graduate Studies (No. 29220).

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Copyright information

© Institute of Mathematics, Vietnam Academy of Science and Technology (VAST) and Springer Science+Business Media Singapore 2017

Authors and Affiliations

  1. 1.Department of Pure MathematicsFerdowsi University of MashhadMashhadIran
  2. 2.Department of Pure Mathematics, Center of Excellence in Analysis on Algebraic StructuresFerdowsi University of MashhadMashhadIran

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