category-theory-presentation/categories/20_What/220_Isomorph.md
2013-02-28 16:49:12 +01:00

533 B

Isomorph

isomorph cats isomorphism: \\(f:A→B\\) which can be "undone" _i.e._ \\(∃g:B→A\\), \\(g∘f=id\_A\\) & \\(f∘g=id\_B\\) in this case, \\(A\\) & \\(B\\) are isomorphic.

A≌B means A and B are essentially the same.
In Category Theory, = is in fact mostly .
For example in commutative diagrams.