In category theory, a branch of mathematics, an opetope, a portmanteau of "operation" and "polytope", is a shape that captures higher-dimensional substitutions...
1 KB (134 words) - 08:15, 3 September 2022
higher-order operad is a higher-dimensional generalization of an operad. Opetope Heuts, Gijs; Hinich, Vladimir; Moerdijk, Ieke (2016). "On the equivalence...
702 bytes (65 words) - 20:40, 12 August 2023
line Extension of a polyhedron Polytope de Montréal Honeycomb (geometry) Opetope Coxeter 1973, pp. 141–144, §7-x. Historical remarks. Coxeter (1973) Richeson...
26 KB (3,117 words) - 20:14, 25 May 2024
with several inputs and several outputs. Operads are used in defining opetopes, higher category theory, homotopy theory, homological algebra, algebraic...
87 KB (273 words) - 14:26, 21 May 2024
model categories. Bicategory Tricategory Tetracategory Infinity category Opetope Stabilization hypothesis n-Categories – Sketch of a Definition by John...
3 KB (373 words) - 17:50, 19 June 2023
1998). "Higher-Dimensional Algebra III.n-Categories and the Algebra of Opetopes". Advances in Mathematics. 135 (2): 145–206. arXiv:q-alg/9702014. doi:10...
2 KB (232 words) - 23:26, 17 August 2023
(1998). "Higher-Dimensional Algebra III. n-Categories and the Algebra of Opetopes". Advances in Mathematics. 135 (2): 145–206. arXiv:q-alg/9702014. Bibcode:1997q...
17 KB (1,511 words) - 07:02, 14 April 2024
Dolan., in Higher-Dimensional Algebra III: n-categories and the Algebra of Opetopes, quantum algebra and Topology, Advances in Mathematics 135 (1998), 145-206...
11 KB (1,189 words) - 06:51, 10 May 2024