List questions from examples-counterexamples

Published on 13 Apr 2026 - 6:02

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Function oscillating between $[-1,1]$ around $0$.

Published on 12 Apr 2026 - 8:59

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Are graphs with certain degree sequences complete?

Published on 12 Apr 2026 - 12:38

295

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Modifications of the necessary condition for series convergence

Published on 13 Apr 2026 - 23:47

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Is the closure of a Hausdorff space, Hausdorff?

Published on 13 Apr 2026 - 7:13

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If $H$ is a normal subgroup of $G$, is $G/H \times H \cong G$?

Published on 10 Apr 2026 - 22:43

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convergence of sequence of averages the other way around

Published on 14 Apr 2026 - 23:30

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Example of functions that are onto but not one-to-one

Published on 12 Apr 2026 - 22:19

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Is there a dense subset of [0,1] of measure 1/2 whose complement is also dense?

Published on 14 Apr 2026 - 0:35

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Sequences in $\ell_1$ which converge in the weak*-topology (wrt $c_0$) but not weakly

Published on 18 Apr 2026 - 14:05

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Is every function with the intermediate value property a derivative?

Published on 11 Apr 2026 - 17:44

10.6k

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Are all algebraic commutative operations always associative?

Published on 11 Apr 2026 - 12:04

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If $f: X \to Y$ is continuous and $E \subseteq X$ is closed and bounded, $f(E)$ is closed and bounded?

Published on 14 Apr 2026 - 1:12

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Examples of finite nonabelian groups.

Published on 11 Apr 2026 - 12:45

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Examples of abelian subgroups of non-abelian groups.

Published on 13 Apr 2026 - 6:03

List Question

Example about the Reduced cost in the Big-M method?

Function oscillating between $[-1,1]$ around $0$.

Are graphs with certain degree sequences complete?

Modifications of the necessary condition for series convergence

Is the closure of a Hausdorff space, Hausdorff?

If $H$ is a normal subgroup of $G$, is $G/H \times H \cong G$?

convergence of sequence of averages the other way around

Example of functions that are onto but not one-to-one

Is there a dense subset of [0,1] of measure 1/2 whose complement is also dense?

Sequences in $\ell_1$ which converge in the weak*-topology (wrt $c_0$) but not weakly

Is every function with the intermediate value property a derivative?

Are all algebraic commutative operations always associative?

If $f: X \to Y$ is continuous and $E \subseteq X$ is closed and bounded, $f(E)$ is closed and bounded?

Examples of finite nonabelian groups.

Examples of abelian subgroups of non-abelian groups.

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