fbpx
Wikipedia

Strict initial object

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

  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.

External links

  • Strict initial object at the nLab

strict, initial, object, mathematical, discipline, category, theory, strict, initial, object, initial, object, category, with, property, that, every, morphism, with, codomain, isomorphism, cartesian, closed, category, every, initial, object, strict, also, dist. 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 McLarty Colin 4 June 1992 Elementary Categories Elementary Toposes Clarendon Press ISBN 0191589497 Retrieved 13 February 2017 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 External links EditStrict initial object at the nLab This category theory related article is a stub You can help Wikipedia by expanding it vte Retrieved from https en wikipedia org w index php title Strict initial object amp oldid 1032089813, wikipedia, wiki, book, books, library,

article

, read, download, free, free download, mp3, video, mp4, 3gp, jpg, jpeg, gif, png, picture, music, song, movie, book, game, games.