Question

Lebesgue Measurable Set which is not a union of a Borel set and a subset of a null meager set?

score 448 · Answer 1 · 2026-03-25 09:08:27

448

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Lebesgue Measurable Set which is not a union of a Borel set and a subset of a null meager set?

Published on 25 Mar 2026 - 9:08

score 100 · Answer 2 · 2018-11-13 01:50:02

100

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Problem 4 Barry Simon a comprehensive course in analysis part 1.

Published on 13 Nov 2018 - 1:50

score 201 · Answer 3 · 2026-03-25 07:44:53

201

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For an infinite dimensional Banach space, $X^$ when given the weak topology is of the first category in itself

Published on 25 Mar 2026 - 7:44

score 268 · Answer 4 · 2026-03-25 09:20:35

268

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Problem 2. A comprehensive course in Analysis. Barry simon. Page 239.

Published on 25 Mar 2026 - 9:20

score 473 · Answer 5 · 2018-11-18 15:05:34

473

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Example of a Baire metric space which is not completely metrizable

Published on 18 Nov 2018 - 15:05

score 363 · Answer 6 · 2026-03-25 09:38:51

363

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$X^$ with $weak^$-topology is first category in itself when $X$ is infinite dimensional Fréchet space

Published on 25 Mar 2026 - 9:38

score 831 · Answer 7 · 2018-11-21 12:32:28

831

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Equivalence of Baire Category Theorem for Complete Metric Spaces.

Published on 21 Nov 2018 - 12:32

score 553 · Answer 8 · 2018-11-24 22:00:57

553

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Suppose $X$ is a complete metric space. Is the complement of a countable union of nowhere-dense sets a dense set?

Published on 24 Nov 2018 - 22:00

score 721 · Answer 9 · 2018-12-02 07:14:16

721

Views

Is the Set of Continuous Functions that are the Sum of Even and Odd Functions Meager?

Published on 02 Dec 2018 - 7:14

score 91 · Answer 10 · 2018-12-06 03:27:23

91

Views

Does the intersection of two dense, open sets have the Baire property?

Published on 06 Dec 2018 - 3:27

score 180 · Answer 11 · 2018-12-11 10:54:34

180

Views

Show every nonempty compact Hausdorff space is not the countable union of nowhere dense sets

Published on 11 Dec 2018 - 10:54

score 49 · Answer 12 · 2018-12-13 08:20:32

49

Views

Compact Hausdorf space $\implies$ not the countable union of nowhere dense sets?

Published on 13 Dec 2018 - 8:20

score 171 · Answer 13 · 2018-12-19 18:46:46

171

Views

Are there any vector spaces that cannot be given a norm that makes the vector space a complete metric space?

Published on 19 Dec 2018 - 18:46

score 71 · Answer 14 · 2018-12-20 13:00:51

71

Views

Can we find $V_n$ in such a way that $\bigcap\limits_{n=1}^{\infty} V_n$ is countable?

Published on 20 Dec 2018 - 13:00

score 159 · Answer 15 · 2019-02-08 09:14:49

159

Views

How to prove Baire Category theorem by Zorn's lemma?

Published on 08 Feb 2019 - 9:14

List Question

Lebesgue Measurable Set which is not a union of a Borel set and a subset of a null meager set?

Problem 4 Barry Simon a comprehensive course in analysis part 1.

For an infinite dimensional Banach space, $X^$ when given the weak topology is of the first category in itself

Problem 2. A comprehensive course in Analysis. Barry simon. Page 239.

Example of a Baire metric space which is not completely metrizable

$X^$ with $weak^$-topology is first category in itself when $X$ is infinite dimensional Fréchet space

Equivalence of Baire Category Theorem for Complete Metric Spaces.

Suppose $X$ is a complete metric space. Is the complement of a countable union of nowhere-dense sets a dense set?

Is the Set of Continuous Functions that are the Sum of Even and Odd Functions Meager?

Does the intersection of two dense, open sets have the Baire property?

Show every nonempty compact Hausdorff space is not the countable union of nowhere dense sets

Compact Hausdorf space $\implies$ not the countable union of nowhere dense sets?

Are there any vector spaces that cannot be given a norm that makes the vector space a complete metric space?

Can we find $V_n$ in such a way that $\bigcap\limits_{n=1}^{\infty} V_n$ is countable?

How to prove Baire Category theorem by Zorn's lemma?

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