List questions from examples-counterexamples

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Is every uniformity for a metrizable topology metrizable?

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Is every uniformizable topology induced by a Heine-Borel uniformity?

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Do boundedness in a metric and boundedness in a uniformity not coincide?

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Do the metrics $d$ and $\frac{d}{1+d}$ induce the same uniformity?

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Are uniformly equivalent metrics with the same bounded sets strongly equivalent?

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What are “real-world” examples of posets which are not (semi-) lattices?

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What is the non trivial example of monosemiring?

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Isn't a semialgebra an algebra?

Published on 24 Dec 2018 - 22:33

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Is a set bounded in every metric for a uniformity bounded in the uniformity?

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Do strongly equivalent metrics have the same covering numbers?

Published on 25 Mar 2026 - 9:23

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An example of a divergent sequence $\{x_n\}$ but with $\lim_{n\to\infty} |x_{n+p} - x_n| = 0$ for any $p \in \Bbb N$

Published on 26 Dec 2018 - 13:48

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Angles of convex polygons

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Radical field extension is soluble, counter-example?

Published on 28 Dec 2018 - 15:34

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Examples of surjective functions $\mathbb{N\to Z}$ and $\mathbb{N\to N\times N}$

Published on 29 Dec 2018 - 6:42

List Question

What topological spaces satisfy yet another property involving relatively compact sets?

Is every uniformity for a metrizable topology metrizable?

Is every uniformizable topology induced by a Heine-Borel uniformity?

Do boundedness in a metric and boundedness in a uniformity not coincide?

Do the metrics $d$ and $\frac{d}{1+d}$ induce the same uniformity?

Are uniformly equivalent metrics with the same bounded sets strongly equivalent?

What are “real-world” examples of posets which are not (semi-) lattices?

What is the non trivial example of monosemiring?

Isn't a semialgebra an algebra?

Is a set bounded in every metric for a uniformity bounded in the uniformity?

Do strongly equivalent metrics have the same covering numbers?

An example of a divergent sequence $\{x_n\}$ but with $\lim_{n\to\infty} |x_{n+p} - x_n| = 0$ for any $p \in \Bbb N$

Angles of convex polygons

Radical field extension is soluble, counter-example?

Examples of surjective functions $\mathbb{N\to Z}$ and $\mathbb{N\to N\times N}$

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