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Showing posts from April 7, 2019

Example of a continuous function that don't have a continuous extensionExtending a continuous function defined on the rationalsLet $Asubset X$; let $f:Ato Y$ be continuous; let $Y$ be Hausdorff. Is there an example where there is no continuous function for $g$?Continuity of a product of two real valued continuous function.a counter example of extension of a continuous functionInverse of a continuous functionIf $Asubseteqmathbb R$ is closed and $f:Atomathbb R$ is right-continuous, is there a right-continuous extension of $f$ to $mathbb R$?Proving Topological Equivalence without finding a functionA function that can be continuously extended is continuousContinuous Extension of Densely Defined Continuous (but not Uniformly Continuous) Function.A topological space with the Universal Extension Property which is not homeomorphic to a retract of $mathbbR^J$?

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