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.

Revised on January 19, 2010 18:28:31 by Toby Bartels (173.60.119.197)