Hey, I can't seem to get anywhere with this big question so if someone could work through this question with me so I understand that would be greatly appreciated.
a) If give a counterexample to
c) Using part b, prove that if is finite then fixes at least one element
I think for part c that if , I can then pick some and consider for each element .
But I can't get any of part a,b or c anyway.
Thanks guys for any help you can give me.