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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.
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| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Handlebody | is a | decomposition of a manifold into standard pieces | 0.90 | text |
| Handlebody | is a | union of 0-handles | 0.90 | text |
| Handlebody | is a | genus of its boundary surface | 0.90 | text |
| Handlebody | related to 3-dimensional handlebodies | It's | 0.60 | section |
| Handlebody | related to 3-dimensional handlebodies | Sometimes | 0.60 | section |
| Handlebody | related to 3-dimensional handlebodies | The | 0.60 | section |
| Handlebody | related to 3-dimensional handlebodies | Up | 0.60 | section |
| Handlebody | related to Examples | Let | 0.60 | section |
| Handlebody | related to Examples | Euclidean | 0.60 | section |
| Handlebody | related to Examples | Then | 0.60 | section |
| Handlebody | related to Examples | The | 0.60 | section |
| Handlebody | related to Examples | Any | 0.60 | section |
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