Title : ( A DENSE SUBGROUP OF TOPOLOGICAL FUNDAMENTAL GROUP OF QUOTIENT SPACES )
Authors: Hamid Torabi Ardakani ,
Full TextAbstract
In this talk, we show that the image of the topological fundamental group of a given space X is dense in the topological fundamental group of the quotient space X =A under the induced homomorphism of the quotient map, where A is a suitable subspace of X with some conditions on X . Also, we give some applications to find out some properties for p top 1 ( X = A; ). In particular, we give some conditions under which p top 1 ( X = A; ) is an indiscrete topological group.
Keywords
, Topological fundamental group, Quotient map, Dense subgroup.
@inproceedings{paperid:1054471,
author = {Torabi Ardakani, Hamid},
title = {A DENSE SUBGROUP OF TOPOLOGICAL FUNDAMENTAL GROUP OF QUOTIENT SPACES},
booktitle = {24th Iranian Algebra Seminar},
year = {2014},
location = {کرج, IRAN},
keywords = {Topological fundamental group; Quotient map; Dense subgroup.},
}
%0 Conference Proceedings
%T A DENSE SUBGROUP OF TOPOLOGICAL FUNDAMENTAL GROUP OF QUOTIENT SPACES
%A Torabi Ardakani, Hamid
%J 24th Iranian Algebra Seminar
%D 2014
