Urgent answer required!
Q. Given topological groups X & Y, and homorphism f:X->Y, verify that the following are equivalent:
(a) f is an open map
(b) for each nhd N of e(x), f(N) is a nhd or e(y), e(x) is the identity
(c) for each open nhd N of e(x), f(N) is a nhd of e(y)
(d) for each open nhd N of e(x), f(N) is an open nhd of e(y)
I know some of these are obvious but whats obvious to one person isn't always obvious to another.
I fully answered one of your questions and ask you to show work on the other, but instead you just repost it.
Originally Posted by Turloughmack
This is, as Plato would say, not a tutoring service. Let's see some work!