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In mathematics, in the subfield of geometric topology, the mapping class group is an important algebraic invariant of a topological space. Briefly, the mapping class group is a certain discrete group corresponding to symmetries of the space.
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group mapping class space groups displaystyle topology topological homotopy homeomorphisms automorphisms category classes also cohomology one surface torus torelli surfaces
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Mapping class group | is a | important algebraic invariant of a topological space | 0.90 | text |
| Mapping class group | is a | certain discrete group corresponding to symmetries of the space | 0.90 | text |
| Mapping class group | is a | group of isotopy classes of homeomorphisms of M | 0.90 | text |
| Mapping class group | is a | group of isotopy classes of diffeomorphisms of M | 0.90 | text |
| Mapping class group | related to 3-Manifolds | Mapping | 0.60 | section |
| Mapping class group | related to 3-Manifolds | For | 0.60 | section |
| Mapping class group | related to Definition | The | 0.60 | section |
| Mapping class group | related to Definition | Most | 0.60 | section |
| Mapping class group | related to Definition | So | 0.60 | section |
| Mapping class group | related to Definition | If | 0.60 | section |
| Mapping class group | related to Definition | Whenever | 0.60 | section |
| Mapping class group | related to Definition | Aut | 0.60 | section |
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