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In mathematics, a topological space X is contractible if the identity map on X is null-homotopic, i.e. if it is homotopic to some constant map. Intuitively, a contractible space is one that can be continuously shrunk to a point within that space.
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contractible space locally point homotopy topological map spaces every connected groups simply null-homotopic one trivial cone properties homotopic since strongly
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Contractible space | related to Locally contractible spaces | This | 0.60 | section |
| Contractible space | related to Locally contractible spaces | In Hatcher's | 0.60 | section |
| Contractible space | related to Locally contractible spaces | Algebraic Topology | 0.60 | section |
| Contractible space | related to Locally contractible spaces | If | 0.60 | section |
| Contractible space | related to Locally contractible spaces | Contractible | 0.60 | section |
| Contractible space | related to Locally contractible spaces | For | 0.60 | section |
| Contractible space | related to Locally contractible spaces | Locally | 0.60 | section |
| Contractible space | related to Locally contractible spaces | In | 0.60 | section |
| Contractible space | related to Locally contractible spaces | The | 0.60 | section |
| Contractible space | related to Properties | It | 0.60 | section |
| Contractible space | related to Properties | Therefore | 0.60 | section |
| Contractible space | related to Properties | Similarly | 0.60 | section |
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