Extending continuous functions

Bruce Blackadar

Extending continuous functions

General Topology 2012-07-31 v2 Operator Algebras

Authors: Bruce Blackadar

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.

Keywords

function theory general topology topological complexity

Cite

@article{arxiv.1207.6147,
  title  = {Extending continuous functions},
  author = {Bruce Blackadar},
  journal= {arXiv preprint arXiv:1207.6147},
  year   = {2012}
}

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7 pages. Comments and references updated

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