Title : ( ON THE H-REGULAR COVERING MAP AT A POINT )
Authors: Majid Kowkabi , Hamid Torabi Ardakani ,
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Abstract
In this paper, by reviewing the concept of covering maps, we extend the notion of regular covering map to H-regular covering map at , 0x where H is a subgroup of the fundamental group of X, ( , ). 1 0 π X x Then, we investigate the properties of H-regular covering map at . 0x In particular, we show that for an H-regular covering map ( )( ) 0 0 , ~, ~ P : X x → X x at 0 x , ( i j ) ( i ) 1 0 1 , , , Hp Xx p Xx ∗ ∗ π π is isomorphic to a subgroup of Cov(X X ) {f X X ~ ~ : ~ = → is a homeomorphism such that p D f = p}.
Keywords
, topological space, fundamental group, covering map
@article{paperid:1083397,
author = {Majid Kowkabi and Torabi Ardakani, Hamid},
title = {ON THE H-REGULAR COVERING MAP AT A POINT},
journal = {JP Journal of Geometry and Topology},
year = {2020},
volume = {25},
month = {November},
issn = {0972-415X},
pages = {1--9},
numpages = {8},
keywords = {topological space; fundamental group; covering map},
}
%0 Journal Article
%T ON THE H-REGULAR COVERING MAP AT A POINT
%A Majid Kowkabi
%A Torabi Ardakani, Hamid
%J JP Journal of Geometry and Topology
%@ 0972-415X
%D 2020
