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In mathematics, the barycentric subdivision is a standard way to subdivide a given simplex into smaller ones. Its extension to simplicial complexes is a canonical method to refining them. Therefore, the barycentric subdivision is an important tool in algebraic topology.
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| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Barycentric subdivision | is a | standard way to subdivide a given simplex into smaller ones | 0.90 | text |
| Barycentric subdivision | is a | important tool in algebraic topology | 0.90 | text |
| Barycentric subdivision | is a | operation on simplicial complexes | 0.90 | text |
| the Euler characteristic to the spaces | instance of | This substitution allows one to assign combinatorial invariants | 0.80 | text |
| Barycentric subdivision | has application | The | 0.60 | section |
| Barycentric subdivision | has application | Therefore | 0.60 | section |
| Barycentric subdivision | has application | Mayer | 0.60 | section |
| Barycentric subdivision | has application | Vietoris | 0.60 | section |
| Barycentric subdivision | related to Barycentric subdivision of a convex polytope | The | 0.60 | section |
| Barycentric subdivision | related to Barycentric subdivision of a convex polytope | In | 0.60 | section |
| Barycentric subdivision | related to Barycentric subdivision of a convex polytope | This | 0.60 | section |
| Barycentric subdivision | related to Barycentric subdivision of a convex polytope | Two | 0.60 | section |
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