Does anybody in here know their Set Theory really well? I could do with some help on a few questions!! Q1) Show how an equilance relation on a set X leads to a partition of X? Q2) Let A and B be sets and [tex] f: A \rightarrow B [/tex]be a function. For each b [tex]\epsilon[/tex] ran f. Show that the collection of all subsets Ab of A is a partition of A and show how this partition can arise as a collection of equivalence classes under an equilavence relation on A determined by f. I keep on reading my notes, but I don't quite understand how the terms equivalence relation, partition and equivalence classes all coincide with one another.