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diff --git a/content/zettel/4d2c.md b/content/zettel/4d2c.md new file mode 100644 index 0000000..b046d43 --- /dev/null +++ b/content/zettel/4d2c.md @@ -0,0 +1,16 @@ ++++ +title = "Isomorphism" +author = "Yann Herklotz" +tags = [] +categories = [] +backlinks = ["4d2b"] +forwardlinks = ["4d2d"] +zettelid = "4d2c" ++++ + +An Isomorphism is a very strong property, which is quite rare as it +states that two morphisms have to create an identity morphism. Instead, +equivalence classes are often used instead, where there must be an +Isomorphism between the composition and the identity instead. + +$A \underset{g}{\overset{f}{\rightleftarrows}} B \implies f \circ g = I_B \landg \circ f = I_A$ |