I have an exam prep sheet on questions to "ponder" about. I've read the book for the class, and I can't seem to find the answers to these.
Can anybody give me a hand with these?
What is a set whose elements consist of all relations from A to B?
If R is an equivalence relation on A, then what is the equivalence class [a] of an element a.
If a relation R is an equivalence relation on A, then there is a particular partition on A associated with R, what is the partition and how do you find it?
If P is a partition of a set A, then what is the equivalence relation Rp corresponding to P? What is the rule for that equivalence relation?
What I think are the answers:
No idea
the equivalence class represents all related subsets of elements from R?
there exists a collection of non empty subsets that which cover all of A?
I have no idea.