Namespaces
Variants
Actions

Talk:Baire space

From Encyclopedia of Mathematics
Revision as of 14:22, 1 August 2012 by Boris Tsirelson (talk | contribs) (more clear?)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

"Any space in which the Baire category theorem on complete metric spaces is valid" — I am afraid, this may be puzzling: does it mean that "Baire" = "complete metric", or not? I see in a book (Kechris) such definition: a topological space in which the intersection of countably many dense open sets is dense. And then a proposition: an open subset of a Baire space is a Baire space. And then "The Baire Category Theorem: Every completely metrizable space is Baire. Every locally compact Hausdorff space is Baire." --Boris Tsirelson 16:22, 1 August 2012 (CEST)

How to Cite This Entry:
Baire space. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Baire_space&oldid=27321