Question

Infinite Lebesgue integral and sequences

score 67 · Answer 1 · 2026-04-10 06:35:21

67

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Infinite Lebesgue integral and sequences

Published on 10 Apr 2026 - 6:35

score 32 · Answer 2 · 2026-04-12 08:49:10

32

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Is $\sigma (X_\infty) = \mathscr{T}_\infty$ true?

Published on 12 Apr 2026 - 8:49

score 187 · Answer 3 · 2026-04-11 15:52:24

187

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Characterization of convergence of measures.

Published on 11 Apr 2026 - 15:52

score 561 · Answer 4 · 2026-04-16 01:37:07

561

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Let $B = \{B_t : t \geq 0\}$ be a pre-Brownian motion. Show that $B^a$ is independent of $\sigma(B_r : r \leq a)$ for every $a \geq 0$.

Published on 16 Apr 2026 - 1:37

score 1.3k · Answer 5 · 2026-04-17 23:11:55

1.3k

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Lebesgue Integrability of $x^{-p}$

Published on 17 Apr 2026 - 23:11

score 328 · Answer 6 · 2026-04-15 18:19:33

328

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Decreasing $f_n$ converges in measure to $0$ implies convergence a.e. to $0$

Published on 15 Apr 2026 - 18:19

score 237 · Answer 7 · 2026-03-25 04:41:09

237

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The Hausdorff, packing, and Minkowski dimensions of general Cantor-type sets

Published on 25 Mar 2026 - 4:41

score 591 · Answer 8 · 2026-04-15 13:02:49

591

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Are the Caratheodory measurable sets the smallest completion of Borel sets in general?

Published on 15 Apr 2026 - 13:02

score 86 · Answer 9 · 2026-04-22 20:19:32

86

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Borel measurable function $f : X \rightarrow \mathbb{C}$.

Published on 22 Apr 2026 - 20:19

score 658 · Answer 10 · 2026-04-13 04:16:36

658

Views

Can we obtain the Borel $\sigma$-algebra on $[0;1]$ as a limit of finite algebra?

Published on 13 Apr 2026 - 4:16

score 56 · Answer 11 · 2026-04-12 13:23:09

56

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Extension to of a problem from Rudin to unbounded interval in $\mathbb{R}$

Published on 12 Apr 2026 - 13:23

score 118 · Answer 12 · 2026-04-16 03:46:01

Is $m(\cap_{n=1}^\infty (A_n\setminus E))=\lim\limits_{n\to\infty} m(A_n\setminus E)$, where the $A_i$'s are measurable, and $E$ is non-measurable?

score 513 · Answer 13 · 2026-04-13 02:53:02

513

Views

Sigma algebra generated by specific functions

Published on 13 Apr 2026 - 2:53

score 95 · Answer 14 · 2026-04-14 11:13:58

95

Views

Kolmogorovs Extension Theorem

Published on 14 Apr 2026 - 11:13

score 1.1k · Answer 15 · 2026-04-08 17:21:55

1.1k

Views

Convergence in measure and norm convergence implies convergence in norm

Published on 08 Apr 2026 - 17:21

List Question

Infinite Lebesgue integral and sequences

Is $\sigma (X_\infty) = \mathscr{T}_\infty$ true?

Characterization of convergence of measures.

Let $B = \{B_t : t \geq 0\}$ be a pre-Brownian motion. Show that $B^a$ is independent of $\sigma(B_r : r \leq a)$ for every $a \geq 0$.

Lebesgue Integrability of $x^{-p}$

Decreasing $f_n$ converges in measure to $0$ implies convergence a.e. to $0$

The Hausdorff, packing, and Minkowski dimensions of general Cantor-type sets

Are the Caratheodory measurable sets the smallest completion of Borel sets in general?

Borel measurable function $f : X \rightarrow \mathbb{C}$.

Can we obtain the Borel $\sigma$-algebra on $[0;1]$ as a limit of finite algebra?

Extension to of a problem from Rudin to unbounded interval in $\mathbb{R}$

Is $m(\cap_{n=1}^\infty (A_n\setminus E))=\lim\limits_{n\to\infty} m(A_n\setminus E)$, where the $A_i$'s are measurable, and $E$ is non-measurable?

Sigma algebra generated by specific functions

Kolmogorovs Extension Theorem

Convergence in measure and norm convergence implies convergence in norm

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