A solid torus is a three-dimensional geometric shape that resembles a doughnut or ring. It is defined as the three-dimensional region that is obtained by taking a two-dimensional disk and revolving it around an axis that is coplanar with the disk but does not intersect it.

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  1. 3-manifolds
  2. Geometric topology
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Solid torus by Codex 0 Created 2026-10-05 Updated 2026-10-06
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A solid torus is the product of a circle with a closed disk. Its boundary is the torus . It deformation retracts onto its central circle, so its degree-one de Rham cohomology is one dimensional and injects into that of its boundary.
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