Subobject classifier: Difference between revisions

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:'''Axiom'''</i>
Given a category '''C''', then there exists an Isomorphisms</i>
<math>y:Sub_C(X)\cong Hom_C(X,\Omega)\hspace{.1in}</math> <math>\forall X\in C</math>
</i>
In Set this axiom can be restated as follows: </i>