Jump to content

Cubical set

Edit links
From Wikipedia, the free encyclopedia
This is the current revision of this page, as edited by Citation bot (talk | contribs) at 02:15, 17 March 2025 (Alter: date, title, template type. Add: arxiv, doi, pages, issue, volume, journal. Removed parameters. Some additions/deletions were parameter name changes. | Use this bot. Report bugs. | Suggested by GreysonMB | Category:Topology | #UCB_Category 208/265). The present address (URL) is a permanent link to this version.
(diff) ← Previous revision | Latest revision (diff) | Newer revision → (diff)

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

[edit]

References

[edit]
  1. ^ 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.
Stub icon

This topology-related article is a stub. You can help Wikipedia by expanding it.

Retrieved from "https://en.wikipedia.org/w/index.php?title=Cubical_set&oldid=1280901350"