List questions from examples-counterexamples

Published on 23 Jan 2019 - 14:53

728

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Does $L_1$ convergence of continuous functions imply pointwise convergence?

Published on 22 Mar 2026 - 21:25

860

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Easy example of a herbrand structure

Published on 27 Mar 2026 - 8:41

444

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Examples of connected door spaces.

Published on 27 Jan 2019 - 0:50

103

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Find continuous functions $f,g$ such that $g\circ f $ is closed and continuous but neither $g$ nor $f$ is closed map.

Published on 25 Mar 2026 - 6:22

1.1k

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Can the union of uncountable infinite sets be a countable infinite set?

Published on 27 Jan 2019 - 9:51

78

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Duality Theorem. An example where the dual is feasible but the primal is not

Published on 28 Jan 2019 - 13:31

2.8k

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"Numbers" bigger than every natural number

Published on 29 Jan 2019 - 16:17

532

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Smallest subgroup generated by a subset of a group.

Published on 27 Mar 2026 - 14:10

110

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Problem when convert $\sqrt{A}+\sqrt{B}=\sqrt{C}+\sqrt{D}$ to A+B=C+D.

Published on 27 Mar 2026 - 10:45

21

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Converging almost everywhere in finite space but not in p-th mean

Published on 30 Jan 2019 - 12:02

342

Views

Example of $\mu_n$ absolutely continuous to Lebesgue but $\mu$ is not

Published on 30 Jan 2019 - 15:44

179

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Congruence satisfied by primes and only by primes II

Published on 26 Mar 2026 - 1:15

124

Views

given a continuous function from $f:\mathbb{Q}\to \mathbb{Q}$

Published on 01 Feb 2019 - 21:26

33

Views

A function that is continous but non constant between two particular topological spaces

Published on 01 Feb 2019 - 22:27

List Question

Example of open and bounded subset of $\Bbb R$ that is not totally bounded

Does $L_1$ convergence of continuous functions imply pointwise convergence?

Easy example of a herbrand structure

Examples of connected door spaces.

Find continuous functions $f,g$ such that $g\circ f $ is closed and continuous but neither $g$ nor $f$ is closed map.

Can the union of uncountable infinite sets be a countable infinite set?

Duality Theorem. An example where the dual is feasible but the primal is not

"Numbers" bigger than every natural number

Smallest subgroup generated by a subset of a group.

Problem when convert $\sqrt{A}+\sqrt{B}=\sqrt{C}+\sqrt{D}$ to A+B=C+D.

Converging almost everywhere in finite space but not in p-th mean

Example of $\mu_n$ absolutely continuous to Lebesgue but $\mu$ is not

Congruence satisfied by primes and only by primes II

given a continuous function from $f:\mathbb{Q}\to \mathbb{Q}$

A function that is continous but non constant between two particular topological spaces

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