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 $x_0\in X$.
Pakdaman, A., & Attary, M. (2018). A COVERING PROPERTY IN PRINCIPAL BUNDLES. Journal of Algebraic Systems, 5(2), 91-98. doi: 10.22044/jas.2018.1093
MLA
A. Pakdaman; M. Attary. "A COVERING PROPERTY IN PRINCIPAL BUNDLES". Journal of Algebraic Systems, 5, 2, 2018, 91-98. doi: 10.22044/jas.2018.1093
HARVARD
Pakdaman, A., Attary, M. (2018). 'A COVERING PROPERTY IN PRINCIPAL BUNDLES', Journal of Algebraic Systems, 5(2), pp. 91-98. doi: 10.22044/jas.2018.1093
VANCOUVER
Pakdaman, A., Attary, M. A COVERING PROPERTY IN PRINCIPAL BUNDLES. Journal of Algebraic Systems, 2018; 5(2): 91-98. doi: 10.22044/jas.2018.1093
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