In category theory, a branch of mathematics, a subterminal object is an object X of a category C with the property that every object of C has at most one morphism into X. If X is subterminal, then the pair of identity morphisms (1X, 1X) makes X into the product of X and X. If C has a terminal object 1, then an object X is subterminal if and only if it is a subobject of 1, hence the name. The category of categories with subterminal objects and functors preserving them is not accessible.
External links
- Subterminal object at the nLab
References
Pitt, David; Rydeheard, David E.; Johnstone, Peter (12 September 1995). Category Theory and Computer Science: 6th International Conference, CTCS '95, Cambridge, United Kingdom, August 7 - 11, 1995. Proceedings. Springer. Retrieved 18 February 2017. https://books.google.com/books?id=GJRQAAAAMAAJ ↩
Ong, Luke (10 March 2010). Foundations of Software Science and Computational Structures: 13th International Conference, FOSSACS 2010, Held as Part of the Joint European Conferences on Theory and Practice of Software, ETAPS 2010, Paphos, Cyprus, March 20-28, 2010, Proceedings. Springer. ISBN 9783642120329. Retrieved 18 February 2017. 9783642120329 ↩
Barr, Michael; Wells, Charles (September 1992). "On the limitations of sketches". Canadian Mathematical Bulletin. 35 (3). Canadian Mathematical Society: 287–294. doi:10.4153/CMB-1992-040-7. https://doi.org/10.4153%2FCMB-1992-040-7 ↩