List questions from examples-counterexamples

Published on 12 Apr 2013 - 11:14

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Counterexample in propositional logic

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Separately continuous functions that are discontinuous at every point

Published on 13 Apr 2013 - 11:04

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If $f_n$ converges uniformly to $f$ on a measure space, show integral of $f_n$ converges to integral of $f$.

Published on 13 Apr 2013 - 14:50

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Measure, absolutely continuous on boundary

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Structures where the injectivity of morphisms is forced

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Convergence Counterexamples

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Worst category with first isomorphism?

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Are there many spaces which have a regular $G_\delta$-diagonal but is not submetrizable?

Published on 11 Apr 2026 - 10:52

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Invariant Subspace Counterexample

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Nice examples of groups which are not obviously groups

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Counter-examples of homeomorphism

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In a group, a finite left translation of $B$ covers $A$. Does any finite right translation of $B$ cover $A$?

Published on 17 Apr 2013 - 10:48

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$\sum a_n$ divergent with $\lim(n a_n)=0$

Published on 17 Apr 2013 - 15:26

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Lagrange theorem for finite algebraic structures.

Published on 13 Apr 2026 - 0:43

List Question

Give an example of a bounded, non-convergent real sequence $(a_n)$ s.t. $a_n-a_{n-1}\rightarrow 0$

Counterexample in propositional logic

Separately continuous functions that are discontinuous at every point

If $f_n$ converges uniformly to $f$ on a measure space, show integral of $f_n$ converges to integral of $f$.

Measure, absolutely continuous on boundary

Structures where the injectivity of morphisms is forced

Convergence Counterexamples

Worst category with first isomorphism?

Are there many spaces which have a regular $G_\delta$-diagonal but is not submetrizable?

Invariant Subspace Counterexample

Nice examples of groups which are not obviously groups

Counter-examples of homeomorphism

In a group, a finite left translation of $B$ covers $A$. Does any finite right translation of $B$ cover $A$?

$\sum a_n$ divergent with $\lim(n a_n)=0$

Lagrange theorem for finite algebraic structures.

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