List questions from examples-counterexamples

Published on 08 Apr 2026 - 2:11

41

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Order isomorphic but not Boolean isomorphic

Published on 12 Apr 2026 - 13:58

3.8k

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Counterexample to "Measurable in each variable separately implies measurable"

Published on 15 Apr 2026 - 5:30

43

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Question with real function and connectedness

Published on 12 Apr 2026 - 6:58

1k

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Self similar set which does not fulfill the open set condition

Published on 16 Apr 2026 - 14:56

512

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non-atomic complete Boolean lattice

Published on 11 Apr 2026 - 13:50

866

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Adjoint of multiplication by $z$ in a Hilbert Space (Bergman space)

Published on 13 Apr 2026 - 18:05

460

Views

Intuitively confusing example of open set and topology on Real Line

Published on 13 Apr 2026 - 2:22

429

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Kullback-Leibler $KL(p,q)\neq KL(q,p)$

Published on 16 Apr 2026 - 6:25

2.9k

Views

Counterexamples to Nakayama's Lemma if $M$ is not finitely generated

Published on 14 Apr 2026 - 16:24

19.6k

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Why $\mathbb Q$ is not locally compact, connected, or path connected?

Published on 14 Apr 2026 - 13:07

2.9k

Views

Nonpiecewise Function Defined at a Point but Not Continuous There

Published on 11 Apr 2026 - 9:03

3.1k

Views

Mixing and Distributing Qualifiers ($\forall x$, $\exists x$)

Published on 13 Apr 2026 - 8:41

459

Views

Can a premise imply contradictory statements?

Published on 09 Apr 2026 - 5:14

1.7k

Views

Leaving out one of the Peano Axioms

Published on 13 Apr 2026 - 13:37

List Question

Simple question about montonically increasing function

Order isomorphic but not Boolean isomorphic

Counterexample to "Measurable in each variable separately implies measurable"

Question with real function and connectedness

Self similar set which does not fulfill the open set condition

non-atomic complete Boolean lattice

Adjoint of multiplication by $z$ in a Hilbert Space (Bergman space)

Intuitively confusing example of open set and topology on Real Line

Kullback-Leibler $KL(p,q)\neq KL(q,p)$

Counterexamples to Nakayama's Lemma if $M$ is not finitely generated

Why $\mathbb Q$ is not locally compact, connected, or path connected?

Nonpiecewise Function Defined at a Point but Not Continuous There

Mixing and Distributing Qualifiers ($\forall x$, $\exists x$)

Can a premise imply contradictory statements?

Leaving out one of the Peano Axioms

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