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Math Help - equivalence relations

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    equivalence relations

    How to describe all the functions which are also equivalence relations

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    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by koukou8617 View Post
    How to describe all the functions which are also equivalence relations

    What does that even mean?
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    Quote Originally Posted by koukou8617 View Post
    How to describe all the functions which are also equivalence relations
    Please try to explain exactly what you are trying to ask.
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    I guess he's thinking of a function as this: (f,X,X) \subset X\times X such that for every x\in X there exists a unique y\in X such that (x,y)\in (f,X,X) from which it follows immediately that if (f,X,X) is to be an equivalence relation then f\equiv id_X (because of reflexivity) ie. (f,X,X)=\{ (x,x)\in X\times X \}
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