Quire

Strict initial object

From Quire, the open reference·Object in category theory·1 min read

In the mathematical discipline of category theory, a strict initial object is an initial object 0 of a category C with the property that every morphism in C with codomain 0 is an isomorphism. In a Cartesian closed category, every initial object is strict.[1] Also, if C is a distributive or extensive category, then the initial object 0 of C is strict.[2]

References#edit

  1. ^ McLarty, Colin (4 June 1992). Elementary Categories, Elementary Toposes. Clarendon Press. ISBN 0191589497. Retrieved 13 February 2017.
  2. ^ Carboni, Aurelio; Lack, Stephen; Walters, R.F.C. (3 February 1993). "Introduction to extensive and distributive categories". Journal of Pure and Applied Algebra. 84 (2): 145–158. doi:10.1016/0022-4049(93)90035-R.
Categories Objects (category theory)Category theory stubs

This article is mirrored from “Strict initial object” on English Wikipedia, revision 1188019515, written by Wikipedia's contributors and licensed CC BY-SA 4.0. Editing it here creates a Quire copy with its own history.

Synced with Wikipedia revision 1188019515 · just now