List questions from examples-counterexamples

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If $r(A)=\omega(A)$, is $r(A)=\|A\|$?

Published on 30 Mar 2019 - 10:02

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Spaces in which all closed sets are regular closed

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Counterexample for the following statement

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Hint Predicated on a False Claim?

Published on 02 Apr 2019 - 19:07

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Examples of sequential compact but not compact spaces that do not use ordinals.

Published on 02 Apr 2019 - 23:39

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Give an example of function that satisfies this theorem?

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A concrete example of involution in group theory

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On the solvability group

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Give an example of a function that is bounded and continuous on the interval [0, 1) but not uniformly continuous on this interval.

Published on 27 Mar 2026 - 14:02

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The set of points with rational coordinates is disconnected

Published on 06 Apr 2019 - 10:41

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Uniform convergence does not guarantee convergence of integrals when the domain has infinite measure

Published on 06 Apr 2019 - 16:44

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Counterexamples for $\lim f(x,y)=\lim \left(y\cdot \frac{f(x,y)}{y}\right)$.

Published on 06 Apr 2019 - 23:49

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Easy to understand real world example for pde with only weak solutions

Published on 26 Mar 2026 - 17:53

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I need a $T_D$ topological space that is not sober

Published on 25 Mar 2026 - 9:53

List Question

Irreducible and aperiodic Markov chain without invariant distribution/measure

If $r(A)=\omega(A)$, is $r(A)=\|A\|$?

Spaces in which all closed sets are regular closed

Counterexample for the following statement

Hint Predicated on a False Claim?

Examples of sequential compact but not compact spaces that do not use ordinals.

Give an example of function that satisfies this theorem?

A concrete example of involution in group theory

On the solvability group

Give an example of a function that is bounded and continuous on the interval [0, 1) but not uniformly continuous on this interval.

The set of points with rational coordinates is disconnected

Uniform convergence does not guarantee convergence of integrals when the domain has infinite measure

Counterexamples for $\lim f(x,y)=\lim \left(y\cdot \frac{f(x,y)}{y}\right)$.

Easy to understand real world example for pde with only weak solutions

I need a $T_D$ topological space that is not sober

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