Inversion mapping torus of a torus
= Inversion mapping torus of a torus
{title2=$M_n=(T^{n-1}\times[0,1])/((x,0)\sim(-x,1))$}
This <mapping torus> fibers over the circle with fiber $T^{n-1}$ and inversion as monodromy. The <Wang sequence> computes its additive <cohomology>. Coordinate projections to the <Klein bottle> expose its mod-two <cup products>.