If f be a bijective continuous function on any interval of real numbers, then is f always homeomorphism? I am asking here for any interval of reals.
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I am telling also about any interval, on which f is continuous bijection. – A learner Jun 19 '20 at 17:10
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1You can extend argument in the post above to function $f$ with any intervals as domain/codomain. – Kelvin Lois Jun 19 '20 at 17:11
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So also on open interval – A learner Jun 19 '20 at 17:12