When is a Local Homeomorphism a Semicovering Map?
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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.
KeywordsLocal homeomorphism Fundamental group Covering map Semicovering map
Mathematics Subject Classification (2010)57M10 57M12 57M05
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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