nLab multilimit


A multilimit of a diagram F:DCF\colon D\to C in a category CC is a (small) set LL of cones over FF such that any cone over FF factors uniquely through a unique element of LL. Of course, limits are precisely multilimits for which LL is a singleton.

For example, the category of fields has no initial object, but it has a multi-initial-object, namely the family of all prime fields (in fact, this category is locally multipresentable).

Last revised on July 29, 2022 at 12:22:57. See the history of this page for a list of all contributions to it.