Differences
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thin_category [2014/10/27 20:36] nikolaj created |
thin_category [2015/09/19 11:46] nikolaj |
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| ===== Thin category ===== | ===== Thin category ===== | ||
| ==== Collection ==== | ==== Collection ==== | ||
| - | | @#55CCEE: context | @#55CCEE: ${\bf C}$ ... small category | | ||
| | @#FFBB00: definiendum | @#FFBB00: ${\bf C}$ in it | | | @#FFBB00: definiendum | @#FFBB00: ${\bf C}$ in it | | ||
| + | | @#AAFFAA: inclusion | @#AAFFAA: $\bf C$ ... category | | ||
| | @#FFFDDD: for all | @#FFFDDD: $A,B:\mathrm{Ob}_{\bf C}$ | | | @#FFFDDD: for all | @#FFFDDD: $A,B:\mathrm{Ob}_{\bf C}$ | | ||
| | @#FFFDDD: for all | @#FFFDDD: $f,g:{\bf C}[A,B]$ | | | @#FFFDDD: for all | @#FFFDDD: $f,g:{\bf C}[A,B]$ | | ||
| - | | @#FFFDDD: for all | @#FFFDDD: $F:\mathrm{Mor}_{\bf C}$ | | ||
| | @#55EE55: postulate | @#55EE55: $f=g$ | | | @#55EE55: postulate | @#55EE55: $f=g$ | | ||
| - | ==== Discussion ==== | + | ----- |
| - | {{http://youtu.be/rMWtL_YOyrg}} | + | === Discussion === |
| + | Miau! {{http://youtu.be/rMWtL_YOyrg}} | ||
| === Reference === | === Reference === | ||
| nLab: [[http://ncatlab.org/nlab/show/thin+category|Thin category]] | nLab: [[http://ncatlab.org/nlab/show/thin+category|Thin category]] | ||
| - | ==== Parents ==== | + | ----- |
| === Refinement of === | === Refinement of === | ||
| [[Locally small category]] | [[Locally small category]] | ||
