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]
- ^ Curien, Pierre-Louis; Livernet, Muriel; Saadia, Gabriel (2022-11-24). "Rigidification of cubical quasi-categories". arXiv: 2211.13679 [ math.AT].
- 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
 | This topology-related article is a stub. You can help Wikipedia by expanding it. |
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]
- ^ Curien, Pierre-Louis; Livernet, Muriel; Saadia, Gabriel (2022-11-24). "Rigidification of cubical quasi-categories". arXiv: 2211.13679 [ math.AT].
- 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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| This topology-related article is a stub. You can help Wikipedia by expanding it. |