ON SEMICOVERING, SUBSEMICOVERING, AND SUBCOVERING MAPS
Publish place: Journal of Algebraic Systems، Vol: 7، Issue: 2
Publish Year: 1399
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JAS-7-2_010
تاریخ نمایه سازی: 18 آذر 1398
Abstract:
In this paper, by reviewing the concept of subcovering and semicovering maps, we extend the notion of subcovering map to subsemicovering map. We present some necessary or sufficient conditions for a local homeomorphism to be a subsemicovering map. Moreover, we investigate the relationship between these conditions by some examples. Finally, we give a necessary and sufficient condition for a subsemicovering map to be semicovering.
Keywords:
local homeomorphism , fundamental group , covering map , semicovering map subcovering map , subsemicovering map
Authors
M. Kowkabi
Department of Mathematics, University of Gonabad, P.O. Box ۵۷۶۷۸-۹۶۹۱۹, Gonabad, Iran.
B. Mashayekhi
Department of Pure Mathematics, Ferdowsi University of Mashhad, P.O. Box ۱۱۵۹- ۹۱۷۷۵, Mashhad, Iran.
H. Torabi
Department of Pure Mathematics, Ferdowsi University of Mashhad, P.O. Box ۱۱۵۹- ۹۱۷۷۵, Mashhad, Iran.