Let A R and f R R be a continuous function Prove that for a
Let A R and f : R R be a continuous function. Prove that for any open U R there is an open V R so that f 1 (U) = V .
Solution
https://www.dpmms.cam.ac.uk/~wtg10/easyanalysis1.html
end of the page has a short writing of proof if only that\'s what you want
