List questions from examples-counterexamples

Published on 20 Feb 2019 - 7:02

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Is there a group $G$ and subgroup $H$, such that there exists $g\in G$ with $gHg^{-1} \subset H$ and $|H:gHg^{-1}|$ is infinite?

Published on 25 Mar 2026 - 9:28

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Sets that are both Sum-free and Product-free

Published on 21 Feb 2019 - 18:55

43

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Example of a Banach algebra with given property

Published on 25 Mar 2026 - 21:49

56

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Is it true that for a Boolean Algebra, $a'b+(abc)'+c(b'+a)=b'+c'$?

Published on 28 Mar 2026 - 5:58

198

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Is the set of Borel measurable transformations the closure of continuous functions under pointwise limits?

Published on 25 Mar 2026 - 13:55

857

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Provide example of two series that both diverge but $\sum\min\{a_n,b_n\}$ converges

Published on 23 Feb 2019 - 2:23

42

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some examples of a Banach algebra with given conditions

Published on 25 Mar 2026 - 21:48

661

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Limits of Rolle theorem

Published on 23 Feb 2026 - 7:40

68

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Counterexample for the invalidity of the following

Published on 25 Mar 2026 - 10:55

264

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Analysis: Composition of a regulated function and a continuous function

Published on 24 Feb 2019 - 15:47

59

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G is matrix lie group such that there is $A\in G$, it is not written as $A=e^{X_1}....e^{X_m} $ for some $X_1,..X_m\in \mathfrak g$

Published on 25 Feb 2019 - 4:13

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An Example of a Torsion Module

Published on 25 Feb 2019 - 5:06

132

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How can I solve this absolute value logarithmic inequality?

Published on 27 Feb 2019 - 6:37

736

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Does every functor from Set to Set preserve products?

Published on 25 Mar 2026 - 10:15

List Question

Does increasing differences imply convexity of a function?

Is there a group $G$ and subgroup $H$, such that there exists $g\in G$ with $gHg^{-1} \subset H$ and $|H:gHg^{-1}|$ is infinite?

Sets that are both Sum-free and Product-free

Example of a Banach algebra with given property

Is it true that for a Boolean Algebra, $a'b+(abc)'+c(b'+a)=b'+c'$?

Is the set of Borel measurable transformations the closure of continuous functions under pointwise limits?

Provide example of two series that both diverge but $\sum\min\{a_n,b_n\}$ converges

some examples of a Banach algebra with given conditions

Limits of Rolle theorem

Counterexample for the invalidity of the following

Analysis: Composition of a regulated function and a continuous function

G is matrix lie group such that there is $A\in G$, it is not written as $A=e^{X_1}....e^{X_m} $ for some $X_1,..X_m\in \mathfrak g$

An Example of a Torsion Module

How can I solve this absolute value logarithmic inequality?

Does every functor from Set to Set preserve products?

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