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arXiv · 1207.6147

Extending continuous functions

Bruce Blackadar
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Abstract

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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Bruce Blackadar. 2012-07-26. Extending continuous functions. https://arxiv.org/abs/1207.6147

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