Solid torus
= Solid torus
{title2=$S^1\times D^2$}
{wiki}
A solid torus is the product of a circle with a closed disk. Its boundary is the <torus> $S^1\times S^1$. It deformation retracts onto its central circle, so its degree-one <de Rham cohomology> is one dimensional and injects into that of its boundary.