7 мар. 2013 г. · A topological space X is said to be a Baire space if every countable union of nowhere-dense subsets of X has empty interior. |
12 нояб. 2016 г. · The Baire category theorem then says that if a space is nice enough (complete metric space, locally compact Hausdorff space, etc.), then it isn ... |
2 июл. 2012 г. · The uniform boundedness principle of Functional Analysis is a very important application of the Baire Category Theorem. |
5 февр. 2012 г. · A meager or Baire first category set in a topological space is one which is a countable union of nowhere dense sets. |
26 окт. 2012 г. · Prove Baire's theorem ... Proving that the set of continuous nowhere differentiable functions is dense using Baire's Category Theorem. |
24 сент. 2018 г. · This is often called the category theorem, for the following reason. Let S be either a complete metric space or a locally compact Hausdorff space. |
30 мая 2015 г. · A set is of first category if it can be written as a countable union of sets whose closure has empty interior. |
27 февр. 2023 г. · A topological space is a Baire space if every sequence of open dense sets intersect densely. Baire category theorem gives us a rich class of examples of Baire ... |
24 дек. 2016 г. · @Quantes: Baire category theorem is the more common name of what you called simply the Baire theorem: it's the same theorem. You use it to show ... |
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