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In mathematics, especially (higher) category theory, higher-dimensional algebra is the study of categorified structures. It has applications in nonabelian algebraic topology, and generalizes abstract algebra.
Applications, Higher-dimensional categories & Double groupoids
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theory groupoids algebra double categories quantum doi 10 higher-dimensional topology brown nonabelian applications algebraic category higher isbn mathematical galois structures
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Higher-dimensional algebra | is a | study of categorified structures | 0.90 | text |
| higher-dimensional manifolds | instance of | or morphisms.Double groupoids are often used to capture information about geometrical objects | 0.80 | text |
| Higher-dimensional algebra | related to Double groupoids | In | 0.60 | section |
| Higher-dimensional algebra | related to Double groupoids | HDA | 0.60 | section |
| Higher-dimensional algebra | related to Double groupoids | Double | 0.60 | section |
| Higher-dimensional algebra | related to Double groupoids | Euclidean | 0.60 | section |
| Higher-dimensional algebra | related to Further reading | Brown | 0.60 | section |
| Higher-dimensional algebra | related to Further reading | Higgins | 0.60 | section |
| Higher-dimensional algebra | related to Further reading | Sivera | 0.60 | section |
| Higher-dimensional algebra | related to Further reading | Nonabelian Algebraic Topology | 0.60 | section |
| Higher-dimensional algebra | related to Further reading | Vol | 0.60 | section |
| Higher-dimensional algebra | related to Further reading | Tracts Vol | 0.60 | section |
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