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There is a page named "Talk:Borel set" on Wikipedia

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  • How to prove that Borel sets are countably generated? Jackzhp 20:44, 6 November 2006 (UTC) A subset of X is a Borel set if and only if it can be...
    19 KB (3,012 words) - 15:54, 20 March 2024
  • me out: The ∞-Borel sets are the ones that have ∞-Borel codes. An ∞-Borel code is something that codes up the way you build an ∞-Borel set by starting with...
    13 KB (2,189 words) - 01:18, 9 March 2024
  • Baire set. On the one hand, it's supposed to be the same as a Borel set on a space like R. The set of rationals is a countable union of closed sets (namely...
    6 KB (911 words) - 23:20, 14 January 2024
  • boldface Borel hierarchy on a Polish space, including Sigma^0_a etc. But there is some doubt about how to deal with the lightface Borel sets -- do they...
    3 KB (586 words) - 04:31, 29 January 2024
  • 2006 (UTC) I have understood the term "Borel measure" to mean any measure on the sigma-algebra of Borel sets in a topological space. Does this jar with...
    3 KB (449 words) - 12:37, 31 January 2024
  • given an operator T, the Borel calculus gives a spectral measure, or the resolution of the identity, {EB} indexed by the Borel sets in σ(T). we define f(T)...
    23 KB (3,809 words) - 04:31, 29 January 2024
  • Planned expansion of this article: Hierarchy of Borel cardinalities Finite cardinals, N {\displaystyle \mathbb {N} } , R {\displaystyle \mathbb {R} }...
    4 KB (641 words) - 04:31, 29 January 2024
  • definition sounds a bit rare to me: For every set A ⊆ Rn (which need not be μ-measurable) there exists a Borel set B ⊆ Rn such that A ⊆ B and μ(A) = μ(B). If...
    6 KB (805 words) - 23:42, 8 March 2024
  • hierarchy and X set. For example: Arithmetical hierarchy / Arithmetical set Analytical hierarchy / Analytic set Borel hierarchy / Borel set (= Borel algebra)...
    7 KB (1,133 words) - 03:38, 9 March 2024
  • G_{\delta }} and F σ {\displaystyle F_{\sigma }} articles into one article on Borel sets? --68.102.149.76 20:40, 16 September 2006 (UTC) Seconded. The notions...
    9 KB (1,266 words) - 22:31, 2 July 2024
  • vector space X {\displaystyle X} is said to have the Heine–Borel property if each bounded set in X {\displaystyle X} is relatively compact (people say also...
    18 KB (2,949 words) - 06:59, 3 February 2024
  • think the previous version was taking too much for granted. That is, the Borel–Cantelli lemma does say that the outcomes that exist in infinitely many...
    8 KB (1,434 words) - 04:32, 29 January 2024
  • 16:04, 29 July 2012 (UTC) Article needs counter-example: a Borel set that is not a continuity set... In particular, the article on convergence of measures...
    1 KB (143 words) - 23:48, 30 January 2024
  • reaction is probably not. Theoretically they could both be merged into Borel hierarchy, but I think it's probably useful to have separate articles at...
    3 KB (465 words) - 05:56, 2 February 2024
  • is not Borel set. If it is a Borel set, K is a Borel set since f is one to one map. Since K is non lebesgue measurable, so K is not a Borel set, neither...
    25 KB (4,140 words) - 01:54, 9 March 2024
  • Borel set and Borel measure: one concept uses the other, but the two benefit from separate consideration. In my opinion, the notation in cylinder set...
    4 KB (600 words) - 00:05, 9 March 2024
  • examples section by giving an example of a Borel set and a non-measurable subset of it, explaining why the Borel measure is not complete. —Preceding unsigned...
    6 KB (989 words) - 22:04, 30 January 2024
  • such as the existence of these things in an appropriate set (in particular the notion of Borel and minimal parabolic can diverge and the latter can take...
    3 KB (473 words) - 04:31, 29 January 2024
  • Chris Miller. “Borel subrings of the reals.” (2002), which specifically states that given a subring of the reals, E, that is also a Borel set, either E is...
    508 bytes (59 words) - 15:26, 10 June 2024
  • Hi, do "Borel Set", "Sigma algebra", and "Heine-Borel theorem" also warrant a place on this page? Thanks. —Preceding unsigned comment added by Arjun r...
    572 bytes (34 words) - 08:33, 5 February 2024
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