On the Spanier Groups and Covering and Semicovering Spaces

Hamid Torabi, Ali Pakdaman, Behrooz Mashayekhy

For a connected, locally path connected space $X$, let $H$ be a subgroup of the fundamental group of $X$, ${\pi }_1(X,x)$. We show that there exists an open cover $\mathcal{U}$ of $X$ such t…