@article{Rana_Hossain_Mandal_2023, title={A STUDY OF COVERING SPACES THROUGH LATTICES}, volume={9}, url={https://ijrdo.org/index.php/m/article/view/5338}, DOI={10.53555/m.v9i1.5338}, abstractNote={<p><em>Let $C(X)$ denote the set of all covering spaces $(\tilde{X},\tilde{x},p)$ of $(X,x)$ where $(X,x)$ are path connected,locally path connected and semilocally simply connected pointed topological spaces.\\In this paper we show that:\\(i)$(C(X),\geq)$ is a lattice and $(C^r(X),\geq)$ is a subllatice of $(C(X),\geq)$ without assuming $\pi(X,x)$ is abelian,where $C^r(X)$ is the set of all regular covering spaces of $(X,x)$.\\(ii)$(C(X),\geq)$ is a modular,bounded and complete lattice when $\pi(X,x)$ is abelian. </em></p>}, number={1}, journal={IJRDO -JOURNAL OF MATHEMATICS}, author={Rana, Dr. Pravanjan Kumar and Hossain, Sarmad and Mandal, Bhaskar}, year={2023}, month={Jan.}, pages={19-23} }