A **weak Kan complex** [Boardman & Vogt (1973)] is a simplicial set for which all *inner* horns have a filler.

The notion was later popularized under the name *quasi-category*. See there for more.

- Michael Boardman, Rainer Vogt,
*Homotopy invariant algebraic structures on topological spaces*, Lecture Notes in Mathematics**347**Springer (1973) [doi:10.1007/BFb0068547]

Last revised on May 30, 2023 at 10:18:49. See the history of this page for a list of all contributions to it.