Hi, I have a question I am having trouble starting:
Let A be a nonempty set. Prove there is no function A onto P(A) (power set of A).
I am not sure if it just means a general function f:A -> P(A) or if we are talking about a function that is onto. Any help will be greatly appreciated.
You may want to refer to this thread - I had the same question sometime back
http://www.mathhelpforum.com/math-he...et-113875.html