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Paul
Paul
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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?

There is another question on $\omega_1$-sized Lindelofness, see http://math.stackexchange.com/q/96590/17980

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?

There is another question on $\omega_1$-sized Lindelofness, see http://math.stackexchange.com/q/96590/17980

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?

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Paul
Paul
  • 654
  • 4
  • 15

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?

There is another question on $\omega_1$-sized Lindelofness, see http://math.stackexchange.com/q/96590/17980

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?

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?

There is another question on $\omega_1$-sized Lindelofness, see http://math.stackexchange.com/q/96590/17980

Source Link
Paul
Paul
  • 654
  • 4
  • 15

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?