
bijection  please help!
I'm having trouble with the following problem  I know how to show surjectivity, injectivity and thus bijectivity but I don't know how to apply it to this problem  help would be GREATLY appreciated!
Given U={z∈C : z = 1 }, n>0, f:U>U defined by f(z) = z^n and ~ the equivalence relation associated with f.
Show that f defines a bijection fbar:U/~ > U.
I don't know how to type mathematical notation so i hope you can understand it ok!

Hello,
I assume you know that U={e^{it}: 0 <= t < 2(pi)}, f(e^{it})=e^{int}.
Show that U/~={e^{is}bar: 0<= s < 2(pi)/n} where e^{is}bar={e^{it}: t=s+2(pi)k/n for some integer k}.
Then, fbar(e^{is}bar)=e^{ins} is a welldefined bijection.
Bye.