Question

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

score 451 · Answer 1 · 2026-04-29 12:56:53

451

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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 29 Apr 2026 - 12:56

score 106 · Answer 2 · 2026-04-29 12:57:12

106

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

Published on 29 Apr 2026 - 12:57

score 204 · Answer 3 · 2026-05-10 14:07:45

204

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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 10 May 2026 - 14:07

score 272 · Answer 4 · 2026-04-16 17:09:21

272

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

Published on 16 Apr 2026 - 17:09

score 475 · Answer 5 · 2026-04-14 05:12:57

475

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Example of a Baire metric space which is not completely metrizable

Published on 14 Apr 2026 - 5:12

score 365 · Answer 6 · 2026-04-16 14:59:55

365

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

Published on 16 Apr 2026 - 14:59

score 835 · Answer 7 · 2026-04-29 12:56:29

835

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Equivalence of Baire Category Theorem for Complete Metric Spaces.

Published on 29 Apr 2026 - 12:56

score 556 · Answer 8 · 2026-04-15 09:29:37

556

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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 15 Apr 2026 - 9:29

score 724 · Answer 9 · 2026-04-15 00:55:22

724

Views

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

Published on 15 Apr 2026 - 0:55

score 96 · Answer 10 · 2026-04-29 12:56:52

96

Views

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

Published on 29 Apr 2026 - 12:56

score 183 · Answer 11 · 2026-04-11 08:39:52

183

Views

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

Published on 11 Apr 2026 - 8:39

score 52 · Answer 12 · 2026-04-12 10:59:59

52

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

Published on 12 Apr 2026 - 10:59

score 175 · Answer 13 · 2026-04-29 12:56:53

175

Views

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

Published on 29 Apr 2026 - 12:56

score 75 · Answer 14 · 2026-04-29 12:56:31

75

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

Published on 29 Apr 2026 - 12:56

score 165 · Answer 15 · 2026-04-29 12:57:14

165

Views

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

Published on 29 Apr 2026 - 12:57

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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