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Extending continuous functions

We examine conditions on a (compact metrizable) space $X$ such that for any space $Y$ and closed subspace $Z$, the set of continuous functions from $Z$ to $X$ which extend to $Y$ is either open or closed in the set of continuous functions from $Z$ to $X$ in the uniform topology.

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AuthorshipTopic signalTopic signalWExtending continuous functionspreprint / 2012ABruce BlackadarResearcherTmath.OA1227 worksTmath.GN612 works
PaperSignal 103 links

Extending continuous functions

preprint / 2012

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