List questions from baire-category

Published on 21 Mar 2017 - 19:08

54

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Why is this proof of the Baire Category Theorem (BCT) is incorrect?

Published on 20 Feb 2023 - 2:10

67

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Baire category theorem and countable union of closed meagre sets in complete metric space

Published on 27 Mar 2026 - 11:48

83

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Examples of dense $G_\delta$ sets in $L^p$ spaces

Published on 06 Mar 2023 - 14:23

55

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Equivalent definitions of Baire spaces

Published on 23 Feb 2026 - 4:38

196

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Nowhere dense subsets of a dense subspace are nowhere dense in the whole space and vice versa

Published on 23 Feb 2026 - 4:41

98

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Brezis' Exercise 4.8

Published on 04 Apr 2023 - 15:03

96

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Alternative proofs of $L^q[0,1]$ is a (Baire) first category subset in $L^p[0,1]$

Published on 07 Apr 2023 - 8:11

86

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A exercise assigned in the topology course

Published on 27 Mar 2026 - 13:18

64

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When Should I Try to Use the Baire Category Theorem?

Published on 25 Apr 2023 - 15:44

89

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Can a proper subspace of a Banach space be a countable intersection of open sets?

Published on 05 May 2023 - 12:23

65

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Let E be a non-meager subset of a Banach space, then E - E contains a neighborhood of zero.

Published on 05 May 2023 - 14:09

160

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A corollary of Baire Category Theorem

Published on 27 Mar 2026 - 13:19

71

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Baire Category in Exercise 4 of Chapter 2, Functional Analysis Rudin

Published on 08 May 2023 - 0:30

705

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Why topological spaces in Baire category theorem are required to be Hausdorff?

Published on 25 Jun 2023 - 14:29

List Question

Is there a Baire Category Theorem for Complete Topological Vector Spaces?

Why is this proof of the Baire Category Theorem (BCT) is incorrect?

Baire category theorem and countable union of closed meagre sets in complete metric space

Examples of dense $G_\delta$ sets in $L^p$ spaces

Equivalent definitions of Baire spaces

Nowhere dense subsets of a dense subspace are nowhere dense in the whole space and vice versa

Brezis' Exercise 4.8

Alternative proofs of $L^q[0,1]$ is a (Baire) first category subset in $L^p[0,1]$

A exercise assigned in the topology course

When Should I Try to Use the Baire Category Theorem?

Can a proper subspace of a Banach space be a countable intersection of open sets?

Let E be a non-meager subset of a Banach space, then E - E contains a neighborhood of zero.

A corollary of Baire Category Theorem

Baire Category in Exercise 4 of Chapter 2, Functional Analysis Rudin

Why topological spaces in Baire category theorem are required to be Hausdorff?

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