List questions from examples-counterexamples

Published on 14 Dec 2014 - 18:59

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Counterexample to an implication

Published on 15 Dec 2014 - 11:27

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Is every open set in a base space evenly covered?

Published on 17 Dec 2014 - 1:21

3k

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Example of equivalent but not strongly equivalent metrics

Published on 18 Dec 2014 - 5:48

313

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An a.e.-defined derivative which is not Lebesgue integrable on any interval?

Published on 18 Dec 2014 - 8:02

174

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Topological Spaces Involving Connectedness, Compactness, and Hausdorfness

Published on 25 Mar 2026 - 19:04

545

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Two disjoint connected and bounded open sets in the plane that shares the same boundary

Published on 20 Dec 2014 - 23:12

75

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Topological Spaces: Pre-Uniform Structures

Published on 21 Dec 2014 - 3:57

54

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What is an example such that $f(x)\neq \sum_{m=0}^{k-1} \frac{f^{(m)}(\alpha)}{m!} (x-\alpha)^m + \frac{f^{(k)}(\psi)}{k!} (x-\alpha)^k$?

Published on 23 Dec 2014 - 0:11

162

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Is this series $\sum_{n \geq 2}\sqrt{a_n}\frac{n^{a_n}-1}{\ln n}$ always divergent?

Published on 23 Dec 2014 - 7:36

130

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Does $(X)(Y)=(XY)$ for $X,Y\subseteq R$?

Published on 25 Dec 2014 - 10:43

98

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Does convolution of two functions in $H^s(\mathbb{R})$ belong to $H^{2s}(\mathbb{R})$?

Published on 26 Dec 2014 - 2:18

124

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mononotone and pseudomonotone operators in current research

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Example of a non-splitting exact sequence $0 → M → M\oplus N → N → 0$

Published on 26 Mar 2026 - 17:31

303

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Examples of magmas with all their elements idempotents

Published on 23 Feb 2026 - 4:55

List Question

Measure Spaces: Uniform & Integral Convergence

Counterexample to an implication

Is every open set in a base space evenly covered?

Example of equivalent but not strongly equivalent metrics

An a.e.-defined derivative which is not Lebesgue integrable on any interval?

Topological Spaces Involving Connectedness, Compactness, and Hausdorfness

Two disjoint connected and bounded open sets in the plane that shares the same boundary

Topological Spaces: Pre-Uniform Structures

What is an example such that $f(x)\neq \sum_{m=0}^{k-1} \frac{f^{(m)}(\alpha)}{m!} (x-\alpha)^m + \frac{f^{(k)}(\psi)}{k!} (x-\alpha)^k$?

Is this series $\sum_{n \geq 2}\sqrt{a_n}\frac{n^{a_n}-1}{\ln n}$ always divergent?

Does $(X)(Y)=(XY)$ for $X,Y\subseteq R$?

Does convolution of two functions in $H^s(\mathbb{R})$ belong to $H^{2s}(\mathbb{R})$?

mononotone and pseudomonotone operators in current research

Example of a non-splitting exact sequence $0 → M → M\oplus N → N → 0$

Examples of magmas with all their elements idempotents

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