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[parent] Baire space is universal for Polish spaces (Theorem)

The following result says that Baire space, $\mathcal{N}$ is universal for Polish spaces.

Theorem   Let $X$ be a nonempty Polish space. Then, there is a continuous and onto map $f\colon\mathcal{N}\rightarrow X$



"Baire space is universal for Polish spaces" is owned by gel.
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See Also: Polish space, injective images of Baire space

Keywords:  Baire space, Polish space

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proof of Baire space is universal for Polish spaces (Proof) by gel
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Cross-references: onto, continuous, Polish spaces, Baire space
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This is version 2 of Baire space is universal for Polish spaces, born on 2009-01-27, modified 2009-01-27.
Object id is 11576, canonical name is BaireSpaceIsUniversalForPolishSpaces.
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AMS MSC: 54E50 (General topology :: Spaces with richer structures :: Complete metric spaces)
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