| Information | |
|---|---|
| has gloss | eng: In the mathematical field of geometric topology, a handlebody is a decomposition of a manifold into standard pieces. Handlebodies play an important role in Morse theory, cobordism theory and the surgery theory of high-dimensional manifolds. Handles are used to particularly study 3-manifolds. |
| lexicalization | eng: Handle body |
| lexicalization | eng: handlebody |
| instance of | (noun) a set of points such as those of a closed surface or an analogue in three or more dimensions manifold |
| Meaning | |
|---|---|
| Italian | |
| has gloss | ita: In geometria, un corpo con manici è uno spazio topologico ottenuto agganciando alcuni "manici" alla palla tridimensionale. |
| lexicalization | ita: corpo con manici |
| Japanese | |
| has gloss | jpn: ハンドル体(ハンドルたい、)とは、位相幾何学において、球体にいくつかのハンドル(取っ手)を貼り付けて得られる向き付け可能な閉多様体。一次元以外の任意の次元でハンドル体を考えることができるが、三次元の場合を指すことが多い。 |
| lexicalization | jpn: ハンドル体 |
| Castilian | |
| has gloss | spa: En la matemática, en la rama de la topología geométrica, un cubo con asas es un tipo particular de variedad topológica. Los cubos con asas son frecuentemente usados para estudiar a las 3-variedades, y sin embargo ellas pueden ser definidas en dimensiones arbitrarias. |
| lexicalization | spa: cubo con asas |
| Media | |
|---|---|
| media:img | Doubletorus.png |
| media:img | Hanbod2.PNG |
| media:img | ThreeFoldKnot.jpg |
| media:img | Tresdisceltoro.PNG |
| media:img | Triple torus illustration.png |
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