ON SEMICOVERING, SUBSEMICOVERING, AND SUBCOVERING MAPS

Document Type: Original Manuscript

Authors

1 Department of Mathematics, University of Gonabad, P.O. Box 57678-96919, Gonabad, Iran.

2 Department of Pure Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159- 91775, Mashhad, Iran.

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