Question

More general Vitali sets

score 330 · Answer 1 · 2018-07-18 11:33:05

330

Views

More general Vitali sets

Published on 18 Jul 2018 - 11:33

score 64 · Answer 2 · 2018-07-18 21:29:59

64

Views

Find a nowhere dense closed subset of $\mathbb{R}$ with the following property

Published on 18 Jul 2018 - 21:29

score 80 · Answer 3 · 2026-03-26 10:45:02

80

Views

Implications with the Lebesgue integral

Published on 26 Mar 2026 - 10:45

score 727 · Answer 4 · 2018-07-23 05:50:58

727

Views

Does the Lebesgue measure on $\mathbf{R}^{n}$ require that the space be equipped with the Euclidean metric?

Published on 23 Jul 2018 - 5:50

score 1.9k · Answer 5 · 2026-03-25 06:07:10

1.9k

Views

Real world application of Lebesgue measure as opposed to Jordan measure

Published on 25 Mar 2026 - 6:07

score 251 · Answer 6 · 2018-07-24 01:42:38

Any set of positive Lebesgue measure in k-dimensional space contains all finite sets in the space to within a similarity transformation

score 388 · Answer 7 · 2026-03-22 22:36:47

388

Views

property of singular measure with respect to Lebesgue measure

Published on 22 Mar 2026 - 22:36

score 136 · Answer 8 · 2018-07-27 08:41:41

136

Views

Suprenum of set of lower semicontinuous functions is lower semicontinuous.

Published on 27 Jul 2018 - 8:41

score 193 · Answer 9 · 2018-07-30 02:47:31

193

Views

Functions with non-zero derivative sending sets of positive measure to sets of positive measure

Published on 30 Jul 2018 - 2:47

score 88 · Answer 10 · 2018-07-30 12:37:10

88

Views

Limit of sequence induced by dilation of Lebesgue integrable function

Published on 30 Jul 2018 - 12:37

score 299 · Answer 11 · 2018-07-30 14:48:08

299

Views

Is there any measurable function $f:[0,1]\to\mathbb R$ such that every modification is nowhere continuous?

Published on 30 Jul 2018 - 14:48

score 336 · Answer 12 · 2026-03-25 10:52:11

336

Views

Measure of set where holomorphic function is large

Published on 25 Mar 2026 - 10:52

score 656 · Answer 13 · 2026-03-25 07:44:51

656

Views

The $m$-dimensional Hausdorff measure agrees with the Lebesgue measure on $\mathbb{R}^n$ when $m=n$?

Published on 25 Mar 2026 - 7:44

score 281 · Answer 14 · 2026-03-25 03:04:34

281

Views

Calculating the length of a curve $(x,x^2)$ for $x\in [0,2]$ using the Hausdorff measure of the set $A=\{(x,x^2)\in\mathbb{R}^2\mid x\in[0,2] \}$?

Published on 25 Mar 2026 - 3:04

score 2.2k · Answer 15 · 2018-08-01 00:03:49

2.2k

Views

Proof that Vitali set is non-measurable.

Published on 01 Aug 2018 - 0:03

List Question

More general Vitali sets

Find a nowhere dense closed subset of $\mathbb{R}$ with the following property

Implications with the Lebesgue integral

Does the Lebesgue measure on $\mathbf{R}^{n}$ require that the space be equipped with the Euclidean metric?

Real world application of Lebesgue measure as opposed to Jordan measure

Any set of positive Lebesgue measure in k-dimensional space contains all finite sets in the space to within a similarity transformation

property of singular measure with respect to Lebesgue measure

Suprenum of set of lower semicontinuous functions is lower semicontinuous.

Functions with non-zero derivative sending sets of positive measure to sets of positive measure

Limit of sequence induced by dilation of Lebesgue integrable function

Is there any measurable function $f:[0,1]\to\mathbb R$ such that every modification is nowhere continuous?

Measure of set where holomorphic function is large

The $m$-dimensional Hausdorff measure agrees with the Lebesgue measure on $\mathbb{R}^n$ when $m=n$?

Calculating the length of a curve $(x,x^2)$ for $x\in [0,2]$ using the Hausdorff measure of the set $A=\{(x,x^2)\in\mathbb{R}^2\mid x\in[0,2] \}$?

Proof that Vitali set is non-measurable.

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