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@ 71,7 +71,7 @@ so is $f(\cB)$.


\end{fact}


\begin{proof}


Consider $(f,g)^{1}(\Delta) \supseteq A$.


The RHS is a dense closed set, i.e.~the entire space.


The LHS is a dense closed set, i.e.~the entire space.


\end{proof}




We can uniquely extend a continuous $f\colon X \to Y$




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