Georg Scheffers: Difference between revisions
Jump to navigation
Jump to search
en>Arjayay m Sp - Sytem > System |
en>Myasuda m →Hypercomplex numbers: sp |
||
| Line 1: | Line 1: | ||
In [[mathematics]], more specifically in [[category theory]] - especially in [[internal category theory]] - an '''internal category'''<ref>Mac Lane, Moerdijk: Sheaves in Geometry and Logic, Springer</ref> in a category <math>C</math> with [[Pullback_(category_theory)|pullback]]s consists of the following data: two <math>C</math>-objects <math>C_0,C_1</math> named "object of objects" and "object of morphisms" respectively and four <math>C</math>-arrows <math>d_0,d_1:C_1\rightarrow C_0, e:C_0\rightarrow C_1,m:C_1\times_{C_0}C_1\rightarrow C_1</math> subject to coherence conditions expressing the axioms of category theory. | |||
==See also== | |||
* [[Enriched category]] | |||
==References== | |||
{{Reflist}} | |||
*{{nlab|id=internal+category|title=Internal category}} | |||
[[Category:Category theory]] | |||
Revision as of 15:06, 18 October 2013
In mathematics, more specifically in category theory - especially in internal category theory - an internal category[1] in a category with pullbacks consists of the following data: two -objects named "object of objects" and "object of morphisms" respectively and four -arrows subject to coherence conditions expressing the axioms of category theory.
See also
References
43 year old Petroleum Engineer Harry from Deep River, usually spends time with hobbies and interests like renting movies, property developers in singapore new condominium and vehicle racing. Constantly enjoys going to destinations like Camino Real de Tierra Adentro.
- ↑ Mac Lane, Moerdijk: Sheaves in Geometry and Logic, Springer