Talk:Polish space
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Given that the topology glossary does not in fact include a definition of a polish space, it seemed rather silly to replace this article with a redirect. —The preceding unsigned comment was added by 62.253.128.13 (talk • contribs) 10:43, 26 February 2005 (UTC)
[edit] Each Polish Space is a Baire Space
according to the Wikipedia article on Baire Spaces. So "Baire Space" cannot be an example for a Polish Space.
I'm unfamiliar with both notions, so I won't edit the page myself... —The preceding unsigned comment was added by 141.89.48.21 (talk • contribs) 10:03, 9 November 2006 (UTC)
- You've run into an unfortunate ambiguity. Some mathematicians use the phrase "a Baire space" to describe any space satisfying the Baire category theorem. Others use the term "Baire space" (no "a") to mean one particular space (namely all functions from the naturals to the naturals, given the product topology). In this article, the second sense is intended. --Trovatore 19:46, 9 November 2006 (UTC)
