- #1
Aequiveri
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I have two questions:
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
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