List questions from examples-counterexamples

Published on 04 Apr 2026 - 13:41

488

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Is knowing the sum , the product and the sum of squares of $k$ different positive integers enough to find them?

Published on 02 Feb 2017 - 10:20

114

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Is it possible to have $F \not \cong F(X) \cong F(X,Y)$?

Published on 02 Feb 2017 - 17:42

127

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Is there a number that is palindromal in both base 2 and base 3?

Published on 25 Mar 2026 - 12:26

1.1k

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Is intersection of a dense subspace and a closed subspace dense in the subspace?

Published on 04 Feb 2017 - 1:55

60

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Give a counterexample of $K_{1}$ and $K_{2}$ closed, but that $A$ is not closed.

Published on 04 Feb 2017 - 11:38

84

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In need of useful examples for teaching

Published on 31 Mar 2026 - 14:13

111

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Nonvanishing of local cohomology and associated primes

Published on 25 Mar 2026 - 6:06

41.6k

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Counterintuitive examples in probability

Published on 29 Mar 2026 - 3:02

173

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a compact subset of uncountable ordinal space $\omega_1$

Published on 13 Feb 2017 - 8:04

174

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Where can I find precise examples of ramified coverings of $\mathbb{C}P^1$?

Published on 28 Mar 2026 - 10:31

638

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Example of two variable limit with special instruction on iterated limits

Published on 14 Feb 2017 - 4:42

119

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Is the intersection of a descending chain of group retracts a retract?

Published on 23 Feb 2026 - 8:41

372

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Whether $\varphi(E)$ is a Jordan measurable set?

Published on 16 Feb 2017 - 6:18

411

Views

Finding an example of a linear operator

Published on 17 Feb 2017 - 8:17

List Question

Correlation of elements of the solution of SDE

Is knowing the sum , the product and the sum of squares of $k$ different positive integers enough to find them?

Is it possible to have $F \not \cong F(X) \cong F(X,Y)$?

Is there a number that is palindromal in both base 2 and base 3?

Is intersection of a dense subspace and a closed subspace dense in the subspace?

Give a counterexample of $K_{1}$ and $K_{2}$ closed, but that $A$ is not closed.

In need of useful examples for teaching

Nonvanishing of local cohomology and associated primes

Counterintuitive examples in probability

a compact subset of uncountable ordinal space $\omega_1$

Where can I find precise examples of ramified coverings of $\mathbb{C}P^1$?

Example of two variable limit with special instruction on iterated limits

Is the intersection of a descending chain of group retracts a retract?

Whether $\varphi(E)$ is a Jordan measurable set?

Finding an example of a linear operator

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