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Paul
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Could $I^X$ be seen as a subspace of $I^{\beta X}$ under the compact-open topology?

Let $X$ be a Tychonof space and $\beta X$ is its compactification. Then could $I^X$ be seen as a subspace of $I^{\beta X}$ under the compact-open topology?

Paul
  • 654
  • 4
  • 15