ON SEMICOVERING, SUBSEMICOVERING, AND SUBCOVERING MAPS
عنوان مقاله: ON SEMICOVERING, SUBSEMICOVERING, AND SUBCOVERING MAPS
شناسه ملی مقاله: JR_JAS-7-2_010
منتشر شده در شماره 2 دوره 7 فصل در سال 1399
شناسه ملی مقاله: JR_JAS-7-2_010
منتشر شده در شماره 2 دوره 7 فصل در سال 1399
مشخصات نویسندگان مقاله:
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.
خلاصه مقاله:
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.
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.
کلمات کلیدی: local homeomorphism, fundamental group, covering map, semicovering map subcovering map, subsemicovering map
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/964770/