List questions from examples-counterexamples

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Is there a nonvirtually abelian group whose commutator subgroup is finite?

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Is the topology generated by the open intervals of a partially ordered set necessarily T_0?

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Finite Partitions of the Unit Interval

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Is there a first countable and star countable space which is not separable?

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Examples of universal constructions in probability theory

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An open problem on general topology

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Suppose every complete subset of a uniform space is closed. Is it Hausdorff?

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Is the intersection of two uniformities a uniformity?

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Example of an increasing, integrable function $f:[0,1]\to\mathbb{R}$ which is discontinuous at all rationals?

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finding a function with predetermined $f^{(n)}$s at $0$ and $1$.

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Other Euler characteristics?

Published on 11 Apr 2026 - 11:32

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A question on $P$-space

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Amenability of abelian and nonabelian groups.

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Example of group homomorphism $f: G \to G$ that is injective, but not surjective.

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List Question

Looking for a bijective nowhere-continuous function ${\mathbb R}\rightarrow{\mathbb R}$

Is there a nonvirtually abelian group whose commutator subgroup is finite?

Is the topology generated by the open intervals of a partially ordered set necessarily T_0?

Finite Partitions of the Unit Interval

Is there a first countable and star countable space which is not separable?

Examples of universal constructions in probability theory

An open problem on general topology

Suppose every complete subset of a uniform space is closed. Is it Hausdorff?

Is the intersection of two uniformities a uniformity?

Example of an increasing, integrable function $f:[0,1]\to\mathbb{R}$ which is discontinuous at all rationals?

finding a function with predetermined $f^{(n)}$s at $0$ and $1$.

Other Euler characteristics?

A question on $P$-space

Amenability of abelian and nonabelian groups.

Example of group homomorphism $f: G \to G$ that is injective, but not surjective.

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