List questions from examples-counterexamples

Published on 12 Apr 2026 - 8:44

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What is a counterexample for If $x\in\overline{A},$ $x$ is not necessarily a limit of a sequence in $A$?

Published on 18 Apr 2026 - 15:18

625

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Krein-Smulian counterexample for the weak (not *) topology.

Published on 12 Apr 2026 - 12:50

1.3k

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Simple example of an explicit Henkin sentence?

Published on 13 Apr 2026 - 17:55

104

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Extending a local distance preserving map $\gamma:[0,L[\rightarrow X$ to $[0,L]$

Published on 12 Apr 2026 - 3:20

887

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Compactness in the compact complement topology

Published on 13 Apr 2026 - 4:24

1k

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Are these two equalities equivalent: $ABA=0$ and $BA=0$?

Published on 18 Apr 2026 - 23:12

1.3k

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Is every metric on the real line translation invariant.

Published on 12 Apr 2026 - 15:08

867

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Motivational examples of using Jordan normal form in mathematics.

Published on 11 Apr 2026 - 20:59

181

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For which value of $e^x$ there is no $x$?

Published on 16 Apr 2026 - 22:59

2.7k

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Example of a sequence of closed and connected sets whose intersection is disconnected

Published on 15 Apr 2026 - 13:17

151

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Does $f \circ (f \circ g) = f \circ(g \circ f)$ imply $f = g$?

Published on 17 Apr 2026 - 7:43

555

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Edge-disjoint Hamiltonian cycles in a planar graph.

Published on 16 Apr 2026 - 6:44

327

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A finitely axiomatizable consistent second-order theory without a model

Published on 09 Apr 2026 - 7:16

74

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Applications of the logarithm property $(\log_pq)(\log_rs)=(\log_rq)(\log_ps)$

Published on 17 Apr 2026 - 9:33

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Explicit nontrivial examples of arc length parametrization

What is a counterexample for If $x\in\overline{A},$ $x$ is not necessarily a limit of a sequence in $A$?

Krein-Smulian counterexample for the weak (not *) topology.

Simple example of an explicit Henkin sentence?

Extending a local distance preserving map $\gamma:[0,L[\rightarrow X$ to $[0,L]$

Compactness in the compact complement topology

Are these two equalities equivalent: $ABA=0$ and $BA=0$?

Is every metric on the real line translation invariant.

Motivational examples of using Jordan normal form in mathematics.

For which value of $e^x$ there is no $x$?

Example of a sequence of closed and connected sets whose intersection is disconnected

Does $f \circ (f \circ g) = f \circ(g \circ f)$ imply $f = g$?

Edge-disjoint Hamiltonian cycles in a planar graph.

A finitely axiomatizable consistent second-order theory without a model

Applications of the logarithm property $(\log_pq)(\log_rs)=(\log_rq)(\log_ps)$

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