Cubical set
In topology, a branch of mathematics, a cubical set is a set-valued contravariant functor on the category of (various) n-cubes.
Cubical sets have been often considered as an alternative to simplicial sets in combinatorial topology, including in the early work of Daniel Kan and Jean-Pierre Serre. They have also been developed in computer science, in particular in concurrency theory and in homotopy type theory.[1]
See also
References
- ^ Curien, Pierre-Louis; Livernet, Muriel; Saadia, Gabriel (2024). "Rigidification of cubical quasicategories". Algebraic & Geometric Topology. 24 (5): 2851–2888. arXiv:2211.13679. doi:10.2140/agt.2024.24.2851.
- nLab, Cubical set.
- Rick Jardine, Cubical sets, Lecture 12 in "Lectures on simplicial presheaves" https://web.archive.org/web/20110104053206/http://www.math.uwo.ca/~jardine/papers/sPre/index.shtml
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