@article {
author = {Pakdaman, A. and Attary, M.},
title = {A COVERING PROPERTY IN PRINCIPAL BUNDLES},
journal = {Journal of Algebraic Systems},
volume = {5},
number = {2},
pages = {91-98},
year = {2018},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2018.1093},
abstract = {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 $x_0\in X$.},
keywords = {Principal bundle,covering space,covering group},
url = {https://jas.shahroodut.ac.ir/article_1093.html},
eprint = {https://jas.shahroodut.ac.ir/article_1093_2fa7e7be0e8cdd89821d84d3247cd729.pdf}
}