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

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 .Solutionhttps://www.dpmms.cam.ac.uk/~wtg10/e

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