TY - JOUR ID - 1592 TI - ON SEMICOVERING, SUBSEMICOVERING, AND SUBCOVERING MAPS JO - Journal of Algebraic Systems JA - JAS LA - en SN - 2345-5128 AU - Kowkabi, M. AU - Mashayekhi, B. AU - Torabi, H. AD - Department of Mathematics, University of Gonabad, P.O. Box 57678-96919, Gonabad, Iran. AD - Department of Pure Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159- 91775, Mashhad, Iran. Y1 - 2020 PY - 2020 VL - 7 IS - 2 SP - 227 EP - 244 KW - local homeomorphism KW - fundamental group KW - covering map KW - semicovering map subcovering map KW - subsemicovering map DO - 10.22044/jas.2019.6941.1367 N2 - 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. UR - https://jas.shahroodut.ac.ir/article_1592.html L1 - https://jas.shahroodut.ac.ir/article_1592_46e995b39d0d2f43bc1e0729906f2507.pdf ER -