I have two questions:(adsbygoogle = window.adsbygoogle || []).push({});

i) Does a distinct equivalence relation on a set produce only one possible partition of that set?

ii) Can multiple (distinct) equivalence relations on a set produce the same partition of that set? In other words, given a set S and two distinct equivalence relations ~ and *, is it possible for ~ on S to give the same partition as * on S?

Thanks in advance.

Ae

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# Equivalence Relations

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