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15
Math.TechQA.Club
2020-01-20 14:21:27
243
Views
Quotient of measurable subspace measurable?
Published on
20 Jan 2020 - 14:21
#real-analysis
#functional-analysis
#probability-theory
#measure-theory
#borel-sets
93
Views
Is the Lebesgue measure on $[a,b]$ $(\subset \mathbb{R})$ perfect?
Published on
20 Jan 2020 - 18:28
#measure-theory
#lebesgue-measure
#borel-sets
22
Views
if $\mu$ is $\sigma$-finite, show that $(\mu \otimes \beta^{1})( \operatorname{graph}(f))=0$
Published on
21 Jan 2020 - 0:23
#real-analysis
#integration
#measure-theory
#functions
#borel-sets
51
Views
when is it true that $ \mathcal B( \prod_{i \in I} \mathcal X_i )= \bigotimes_{i \in I} \mathcal B( \mathcal X_i ) $
Published on
21 Jan 2020 - 22:49
#general-topology
#probability-theory
#measure-theory
#metric-spaces
#borel-sets
139
Views
Show that the smallest sigma field of the subsets of $A$ containing the sets open in $A$.
Published on
26 Jan 2020 - 4:45
#probability
#probability-theory
#measure-theory
#borel-sets
36
Views
Borel set and Lebesgue
Published on
26 Jan 2020 - 21:11
#lebesgue-measure
#borel-sets
90
Views
Rationals (or any dense set) in $[0,1]$ has measure 1?
Published on
27 Jan 2020 - 0:27
#measure-theory
#lebesgue-measure
#borel-sets
146
Views
Is a positive regular Borel measure on a compact Hausdorff space always finite?
Published on
25 Mar 2026 - 10:57
#measure-theory
#proof-explanation
#compactness
#borel-sets
#borel-measures
37
Views
Let $\mathcal{C}$ = {$(a,b): - \infty \le a < b \le \infty$}.
Published on
28 Jan 2020 - 20:44
#probability
#measure-theory
#real-numbers
#borel-sets
48
Views
Yet another question about the definition of the Borel $\sigma$-field on $\Bbb R$
Published on
29 Jan 2020 - 12:44
#measure-theory
#borel-sets
678
Views
Dual space of continuous functions vanishing at infinity. Euclidean version.
Published on
25 Mar 2026 - 10:55
#borel-sets
#riesz-representation-theorem
#borel-measures
75
Views
Union of sigma fields generated by random variables
Published on
19 Feb 2020 - 20:29
#probability
#probability-theory
#measure-theory
#borel-sets
173
Views
$ \mathcal{F}_n = \sigma(\{0\},\{1\},\{2\}, \dots , \{n\})$ showing $\cup_{n\geq0} \mathcal{F}_n $ is not a sigma algebra
Published on
25 Mar 2026 - 11:16
#measure-theory
#proof-explanation
#solution-verification
#borel-sets
#algebras
128
Views
An example of a measure and of a set s.t. its measure cannot be approximated by measures of its open subsets
Published on
25 Mar 2026 - 17:33
#real-analysis
#measure-theory
#borel-sets
#outer-measure
303
Views
Does there exist a first category set that is not $F_\sigma$?
Published on
26 Mar 2026 - 2:17
#real-analysis
#general-topology
#metric-spaces
#baire-category
#borel-sets
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