Infinite cyclic cover associated to an epimorphism
= Infinite cyclic cover associated to an epimorphism
{title2=$\widetilde X_\alpha,\quad\alpha:\pi_1(X)\twoheadrightarrow\mathbb Z$}
The connected <covering space> corresponding to $\ker\alpha$ has <deck transformation group> $\mathbb Z$. Choosing a deck generator makes its integral <homology> a <module> over the <Laurent polynomial ring> $\mathbb Z[t,t^{-1}]$.