Differences
This shows you the differences between two versions of the page.
| Both sides previous revision Previous revision Next revision | Previous revision | ||
|
equivalence_of_categories [2014/11/01 17:55] nikolaj |
equivalence_of_categories [2014/12/04 22:34] (current) nikolaj |
||
|---|---|---|---|
| Line 11: | Line 11: | ||
| === Elaboration === | === Elaboration === | ||
| Here $Id_{\bf C}$ denotes the [[identity functor]] on ${\bf C}$. | Here $Id_{\bf C}$ denotes the [[identity functor]] on ${\bf C}$. | ||
| - | |||
| - | === In words === | ||
| - | Two categories are equivalent, if there is are functors $F,G$ mediating between them, which don't deform them too much: They are tame enough so that their composite deformations can be repaired back to unity. | ||
| === Motivation === | === Motivation === | ||
| Line 29: | Line 26: | ||
| ==== Parents ==== | ==== Parents ==== | ||
| === Context === | === Context === | ||
| - | [[Category]] | + | [[Categories]] |
| === Requirements === | === Requirements === | ||
| [[Natural isomorphism]], [[Identity functor]] | [[Natural isomorphism]], [[Identity functor]] | ||
