List questions from examples-counterexamples | MathQa

If I take pre-images of an increasing subset of the image, do their measures converge to that of the range?

Published on 30 Dec 2024 - 11:26

Direct sum counterexample

Published on 12 Jan 2025 - 17:49

Show that $\forall x\varphi\vDash\varphi[t/x]$ may not hold if $t$ is bound for $x$ in $\varphi$.

Published on 12 Jan 2025 - 8:33

Can a relation be both symmetric and antisymmetric; or neither?

Published on 26 Dec 2024 - 4:03

Providing counterexamples to the claim: If $|A \cap B| < |A|$ then $|A|>|B|$

Published on 27 Dec 2024 - 16:32

Do uniformly grey sets of positive density exist?

Published on 05 Jan 2025 - 1:36

Counterexample to show that the interior of union may be larger than the union of interiors

Published on 25 Dec 2024 - 21:27

Vague convergence of absolutely continuous measures to discrete, or vice versa

Published on 30 Dec 2024 - 18:47

Sum of two odd functions is always odd.

Published on 26 Dec 2024 - 3:13

Looking for a counterexample in convergence of random variables

Published on 28 Dec 2024 - 17:48