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has gloss | eng: In mathematics, a solid torus is a topological space homeomorphic to S^1 \times D^2, i.e. the cartesian product of the circle with a two dimensional disc endowed with the product topology. The solid torus is a connected, compact, orientable 3-dimensional manifold with boundary. The boundary is homeomorphic to S^1 \times S^1, the ordinary torus. |
lexicalization | eng: solid torus |
instance of | (noun) (mathematics) any set of points that satisfy a set of postulates of some kind; "assume that the topological space is finite dimensional" mathematical space, topological space |
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Esperanto | |
has gloss | epo: En matematiko, solida toro estas tri-dimensia topologia spaco homeomorfia al S^1 \times D^2, do la kartezia produto de cirklo kun du-dimensia disko laŭ la produta topologio. |
lexicalization | epo: Solida toro |
Russian | |
has gloss | rus: Полното́рие (полното́рий) — это геометрическое тело, гомеоморфное произведению двумерного диска и окружности D^2 \times S^1. Неформально, полноторие — это бублик, тогда как тор — только его поверхность. |
lexicalization | rus: Полноторие |
Media | |
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media:img | Torus illustration.png |
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