%0 Journal Article
%T A COVERING PROPERTY IN PRINCIPAL BUNDLES
%J Journal of Algebraic Systems
%I Shahrood University of Technology
%Z 2345-5128
%A Pakdaman, A.
%A Attary, M.
%D 2018
%\ 01/01/2018
%V 5
%N 2
%P 91-98
%! A COVERING PROPERTY IN PRINCIPAL BUNDLES
%K Principal bundle
%K covering space
%K covering group
%R 10.22044/jas.2018.1093
%X Let $p:X\lo B$ be a locally trivial principal G-bundle and $\wt{p}:\wt{X}\lo B$ be a locally trivial principal $\wt{G}$-bundle. In this paper, by using the structure of principal bundles according to transition functions, we show that $\wt{G}$ is a covering group of $G$ if and only if $\wt{X}$ is a covering space of $X$. Then we conclude that a topological space $X$ with non-simply connected universal covering space has no connected locally trivial principal $\pi(X,x_0)$-bundle, for every $x_0\in X$.
%U https://jas.shahroodut.ac.ir/article_1093_2fa7e7be0e8cdd89821d84d3247cd729.pdf