TY - JOUR
ID - 1093
TI - A COVERING PROPERTY IN PRINCIPAL BUNDLES
JO - Journal of Algebraic Systems
JA - JAS
LA - en
SN - 2345-5128
AU - Pakdaman, A.
AU - Attary, M.
AD - Department of Mathematics, University of Golestan, P.O.Box 155, Gorgan, Iran.
Y1 - 2018
PY - 2018
VL - 5
IS - 2
SP - 91
EP - 98
KW - Principal bundle
KW - covering space
KW - covering group
DO - 10.22044/jas.2018.1093
N2 - 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 $x_0\in X$.
UR - https://jas.shahroodut.ac.ir/article_1093.html
L1 - https://jas.shahroodut.ac.ir/article_1093_2fa7e7be0e8cdd89821d84d3247cd729.pdf
ER -