Question

Is the set {$az:z\in \mathbb Z$} for all $a \in R$ a Lebesgue null set?

score 55 · Answer 1 · 2026-04-12 02:00:35

55

Views

Is the set {$az:z\in \mathbb Z$} for all $a \in R$ a Lebesgue null set?

Published on 12 Apr 2026 - 2:00

score 45 · Answer 2 · 2026-04-13 16:35:33

45

Views

On the Lebesgue outer measure of the close interval

Published on 13 Apr 2026 - 16:35

score 49 · Answer 3 · 2026-04-11 15:00:45

49

Views

How to use $L^2$ Lebesgue density of a measure $\mu$ to conclude that $\mu$ is absolutely continuous w.r.t. the Lebesgue measure?

Published on 11 Apr 2026 - 15:00

score 42 · Answer 4 · 2026-04-12 17:51:34

42

Views

Weak and a.e. convergences for positive measures

Published on 12 Apr 2026 - 17:51

score 78 · Answer 5 · 2026-04-12 19:46:38

78

Views

Monotone approximation of integrable functions

Published on 12 Apr 2026 - 19:46

score 179 · Answer 6 · 2026-04-14 02:43:03

179

Views

What is the right measure for the upper half-plane?

Published on 14 Apr 2026 - 2:43

score 68 · Answer 7 · 2026-04-17 09:52:01

68

Views

Example of measure space $(X,\mathcal B,\mu)$ and measurables and disjoint sets $A,B\in \mathcal B$ , such that: $\mu(A) = \mu(B) = \mu(X)$

Published on 17 Apr 2026 - 9:52

score 87 · Answer 8 · 2026-04-12 10:12:01

87

Views

counterexample for a theorem in measure theory

Published on 12 Apr 2026 - 10:12

score 201 · Answer 9 · 2026-04-11 15:25:19

201

Views

Question on Proof of Theorem 2.20 in Walter Rudin's Real and Complex Analysis

Published on 11 Apr 2026 - 15:25

score 39 · Answer 10 · 2026-04-12 06:38:06

39

Views

Preserved properties of lebesgue measures under weak-* convergence

Published on 12 Apr 2026 - 6:38

score 37 · Answer 11 · 2026-04-14 15:29:11

37

Views

Finding approximating sequence of simple functions for a particular sequence

Published on 14 Apr 2026 - 15:29

score 18 · Answer 12 · 2026-04-13 07:14:04

18

Views

Proving an integrable function is finite almost everywhere

Published on 13 Apr 2026 - 7:14

score 43 · Answer 13 · 2026-04-16 23:25:15

43

Views

Question on the proof that if $E \subset \mathbb R$ and $E = H \cup N$ with $H$ a $F_\sigma$ set and $\mu(N) = 0$, then $E \subset \mathcal A_{\mu}$

Published on 16 Apr 2026 - 23:25

score 94 · Answer 14 · 2026-04-14 13:27:11

94

Views

if f is continuous then every preimage of lebesgue measurable is lebesgue measurable

Published on 14 Apr 2026 - 13:27

score 54 · Answer 15 · 2026-04-10 19:04:30

54

Views

Does being equal to a riemann integrable function almost everywhere imply riemann integrability for a bounded function?

Published on 10 Apr 2026 - 19:04

List Question

Is the set {$az:z\in \mathbb Z$} for all $a \in R$ a Lebesgue null set?

On the Lebesgue outer measure of the close interval

How to use $L^2$ Lebesgue density of a measure $\mu$ to conclude that $\mu$ is absolutely continuous w.r.t. the Lebesgue measure?

Weak and a.e. convergences for positive measures

Monotone approximation of integrable functions

What is the right measure for the upper half-plane?

Example of measure space $(X,\mathcal B,\mu)$ and measurables and disjoint sets $A,B\in \mathcal B$ , such that: $\mu(A) = \mu(B) = \mu(X)$

counterexample for a theorem in measure theory

Question on Proof of Theorem 2.20 in Walter Rudin's Real and Complex Analysis

Preserved properties of lebesgue measures under weak-* convergence

Finding approximating sequence of simple functions for a particular sequence

Proving an integrable function is finite almost everywhere

Question on the proof that if $E \subset \mathbb R$ and $E = H \cup N$ with $H$ a $F_\sigma$ set and $\mu(N) = 0$, then $E \subset \mathcal A_{\mu}$

if f is continuous then every preimage of lebesgue measurable is lebesgue measurable

Does being equal to a riemann integrable function almost everywhere imply riemann integrability for a bounded function?

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