When Is a Local Homeomorphism a Semicovering map?

2016/02/23 by Kowkabi, Majid, Mashayekhy, Behrooz, Torabi, Hamid · 1 citation
#57M05 #57M10 #57M12 #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1602.07260

Abstract

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.

Cited by

• Comparison of Topologies on Fundamental Groups with Subgroup Topology Viewpoint

Related

• On Semicovering, Subsemicovering and Subcovering Maps
• Semigroups of Local Homeomorphisms
• Local homeomorphisms that *-commute with the shift
• Homeomorphic restrictions of unimodal maps
• Extensions, quotients and generalized pseudo-Anosov maps