Opetope

In category theory, a branch of mathematics, an opetope, a portmanteau of "operation" and "polytope", is a shape that captures higher-dimensional substitutions. ^[1] It was introduced by John C. Baez and James Dolan so that they could define a weak n-category as a certain presheaf on the category of opetopes. ^[2]

See also

• higher-order operad

References

1. Leinster, Tom (2004). "Opetopes". Higher Operads, Higher Categories. London Mathematical Society Lecture Notes Series. Vol. 298. Cambridge University Press. pp. 216–260. doi:10.1017/CBO9780511525896.010. ISBN   0-521-53215-9.
2. Baez, John C.; Dolan, James (1997-02-10). "Higher-Dimensional Algebra III: n-Categories and the Algebra of Opetopes". Advances in Mathematics . 135 (2): 145–206. arXiv: q-alg/9702014 . Bibcode:1997q.alg.....2014B. doi: 10.1006/aima.1997.1695 .

• Cheng, Eugenia (2004). "Weak n-categories: Opetopic and multitopic foundations". Journal of Pure and Applied Algebra. 186 (2): 109–137. doi:10.1016/S0022-4049(03)00139-7.

External links

• "Opetope", ncatlab.org