Question

Why are Lebesgue measurable sets defined in connection to intersections with other sets?

score 282 · Answer 1 · 2018-03-12 23:19:48

282

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Why are Lebesgue measurable sets defined in connection to intersections with other sets?

Published on 12 Mar 2018 - 23:19

score 893 · Answer 2 · 2018-03-14 11:45:59

893

Views

Prove if $f$ and $g$ are integrable, $\int g\,dv=\int fg \, d\mu$

Published on 14 Mar 2018 - 11:45

score 779 · Answer 3 · 2026-03-25 06:28:04

779

Views

Weird use of Glasser's Master Theorem

Published on 25 Mar 2026 - 6:28

score 206 · Answer 4 · 2026-03-20 05:13:32

206

Views

Simple question on simple functions: interpreting the sum sign

Published on 20 Mar 2026 - 5:13

score 1.5k · Answer 5 · 2018-03-15 01:12:57

1.5k

Views

Evaluating the Limit of the Integral of $(1-x/n)^n$

Published on 15 Mar 2018 - 1:12

score 323 · Answer 6 · 2018-03-15 08:07:03

323

Views

Calculate $\lim\limits_{n\to\infty}\int_\mathbb{R}f_nd\lambda.$

Published on 15 Mar 2018 - 8:07

score 200 · Answer 7 · 2026-03-20 00:05:52

200

Views

Holomorphic mappings send sets of measure zero to sets of measure zero.

Published on 20 Mar 2026 - 0:05

score 187 · Answer 8 · 2026-03-24 22:11:48

187

Views

Are two decreasing equimeasurable functions equal to each other a.e.?

Published on 24 Mar 2026 - 22:11

score 666 · Answer 9 · 2018-03-18 08:04:59

666

Views

Integrating the following function

Published on 18 Mar 2018 - 8:04

score 246 · Answer 10 · 2026-03-22 03:53:17

246

Views

Condition for algebra being sigma algebra

Published on 22 Mar 2026 - 3:53

score 73 · Answer 11 · 2026-03-23 00:43:36

73

Views

Does set with Lebesgue-Mass nonzero have almost surely an open subset

Published on 23 Mar 2026 - 0:43

score 44 · Answer 12 · 2018-03-19 18:20:49

44

Views

If $F$ is a closed subset of $[a,b]$ and length of $F$, $|F| = 0$ then is $F$ an empty set. True or False?

Published on 19 Mar 2018 - 18:20

score 43 · Answer 13 · 2018-03-20 17:07:34

43

Views

Understanding $\mathcal M_\mathcal F$ in the collection of Lebesgue measurable sets of Euclidean space.

Published on 20 Mar 2018 - 17:07

score 284 · Answer 14 · 2018-03-20 23:12:12

284

Views

Find Lebesgue integral of $\int_{R^n}1_S$ using Fubini.

Published on 20 Mar 2018 - 23:12

score 415 · Answer 15 · 2018-03-21 14:38:44

415

Views

Trying to find two functions $\varphi$ measurable and $f$ continuous such that $\varphi\circ f$ isn't measurable

Published on 21 Mar 2018 - 14:38

List Question

Why are Lebesgue measurable sets defined in connection to intersections with other sets?

Prove if $f$ and $g$ are integrable, $\int g\,dv=\int fg \, d\mu$

Weird use of Glasser's Master Theorem

Simple question on simple functions: interpreting the sum sign

Evaluating the Limit of the Integral of $(1-x/n)^n$

Calculate $\lim\limits_{n\to\infty}\int_\mathbb{R}f_nd\lambda.$

Holomorphic mappings send sets of measure zero to sets of measure zero.

Are two decreasing equimeasurable functions equal to each other a.e.?

Integrating the following function

Condition for algebra being sigma algebra

Does set with Lebesgue-Mass nonzero have almost surely an open subset

If $F$ is a closed subset of $[a,b]$ and length of $F$, $|F| = 0$ then is $F$ an empty set. True or False?

Understanding $\mathcal M_\mathcal F$ in the collection of Lebesgue measurable sets of Euclidean space.

Find Lebesgue integral of $\int_{R^n}1_S$ using Fubini.

Trying to find two functions $\varphi$ measurable and $f$ continuous such that $\varphi\circ f$ isn't measurable

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