List questions from examples-counterexamples

Published on 11 Oct 2018 - 14:54

77

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Does $X_n \to X$ in probability imply $\mathbb{E}(\liminf_n X_n) = \mathbb{E}(X)$?

Published on 26 Mar 2026 - 1:03

284

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Compositeness tests for generalized repunit numbers

Published on 25 Mar 2026 - 23:35

182

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What is an example of a compact non-uniformizable space?

Published on 22 Feb 2026 - 23:09

239

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When is a topological space uniquely uniformizable?

Published on 22 Feb 2026 - 23:06

268

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A set X is convex if $\forall x,y \in X$, $\frac{1}{2}(x+y)\in X$

Published on 14 Oct 2018 - 8:53

387

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Compositeness tests for numbers of the form $k \cdot b^n \pm c$

Published on 26 Mar 2026 - 1:10

120

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counterexamples with complex function

Published on 15 Oct 2018 - 7:36

89

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In a finite non-abelian group $(G,+)$, is $a+b=c+d$ if and only if $b+a=d+c$ for all non-identity $a,b,c,d\in G$?

Published on 17 Oct 2018 - 5:05

82

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Another examples of strictly monotone surjective function from an interval to another interval

Published on 25 Mar 2026 - 15:58

695

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Is there a bijective seacucumber?

Published on 26 Mar 2026 - 7:38

199

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Example of integral domain with "non-trivial" units

Published on 18 Oct 2018 - 5:06

509

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Examples about bounded variation function

Published on 25 Mar 2026 - 15:57

91

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Examples of Commutative Semigroups Where the Cardinality of the Carrier Set is Greater Than $\mathfrak c$.

Published on 25 Mar 2026 - 1:20

1.1k

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Example of an ODE with initial conditions

Published on 20 Oct 2018 - 20:22

List Question

Examples that show that AC is not that natural

Does $X_n \to X$ in probability imply $\mathbb{E}(\liminf_n X_n) = \mathbb{E}(X)$?

Compositeness tests for generalized repunit numbers

What is an example of a compact non-uniformizable space?

When is a topological space uniquely uniformizable?

A set X is convex if $\forall x,y \in X$, $\frac{1}{2}(x+y)\in X$

Compositeness tests for numbers of the form $k \cdot b^n \pm c$

counterexamples with complex function

In a finite non-abelian group $(G,+)$, is $a+b=c+d$ if and only if $b+a=d+c$ for all non-identity $a,b,c,d\in G$?

Another examples of strictly monotone surjective function from an interval to another interval

Is there a bijective seacucumber?

Example of integral domain with "non-trivial" units

Examples about bounded variation function

Examples of Commutative Semigroups Where the Cardinality of the Carrier Set is Greater Than $\mathfrak c$.

Example of an ODE with initial conditions

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