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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.

Solid torus

Meridian of a solid torus

Past exam of the mathematics course of the University of Cambridge / 2018 / iii / Paper 115 / 1 / 1 / 4 / Solution

Past exam of the mathematics course of the University of Cambridge / 2018 / iii / Paper 141 / 1 / a / Solution

Past exam of the mathematics course of the University of Cambridge / 2018 / iii / Paper 141 / 1 / b / Solution

Past exam of the mathematics course of the University of Cambridge / 2018 / iii / Paper 141 / 4 / a / Solution

Past exam of the mathematics course of the University of Cambridge / 2018 / iii / Paper 141 / 4 / b / i / Solution

Past exam of the mathematics course of the University of Cambridge / 2018 / iii / Paper 141 / 4 / d / Solution

Seifert fiber

{wiki=Solid_torus}

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.


Solid torus ( $S^{1} \times D^{2}$ )

Meridian of a solid torus ( $μ$ )

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Solid torus (S1×D2)

Meridian of a solid torus (μ)