there exists f: R-R, continuous, but not one to one, such that f(V) is open for any open subset V of R. Any ideas will be appreciated, thanks!
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Originally Posted by violetsf there exists f: R-R, continuous, but not one to one, such that f(V) is open for any open subset V of R. Any ideas will be appreciated, thanks! f(x) = x^2
it is not R-R
Originally Posted by violetsf it is not R-R So you want an onto map also?
yes Originally Posted by ThePerfectHacker So you want an onto map also?
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