List questions from examples-counterexamples

Published on 12 Apr 2026 - 21:11

77

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Examples of uses for the order topology

Published on 23 Apr 2026 - 16:25

60

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An Inclusion-Strict Notion of Homotopy

Published on 10 Apr 2026 - 16:21

173

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Conjecture-refinement related to Nesbitt's inequality

Published on 15 Apr 2026 - 21:22

109

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Existence and uniquenness of a point attains the distance between a point and a nonconvex set?

Published on 12 Apr 2026 - 18:45

30

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Construction of a special power series

Published on 14 Apr 2026 - 0:48

95

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Which of the following statements are true for the elements in $\mathscr S\ $?

Published on 05 May 2026 - 11:07

87

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Struggling to find a counterexample to a weakening of MCT/DCT

Published on 13 Apr 2026 - 3:57

145

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Is there a locally compact, locally path-connected, connected metric space that is not a length space?

Published on 11 Apr 2026 - 1:26

160

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Counterexample for $L^p$-convergence

Published on 12 Apr 2026 - 7:32

105

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Example of a $\mathcal{C}^0$-Caratheodory function

Published on 15 Apr 2026 - 1:08

73

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Does there exist a Lipschitz injective map whose derivative vanishes on a set of positive measure?

Published on 12 Apr 2026 - 8:32

257

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Examples of probability distributions that the product of their random variable is also in same distribution.

Published on 14 Apr 2026 - 1:16

148

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Find a metric space that every subset has an empty boundary set

Published on 16 Apr 2026 - 9:52

43

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$f:X\to Y$ and $g:Y\to X$ are bijective and continuous. Then two metric spaces $X$ and $Y$ are homeomorphic?

Published on 16 Apr 2026 - 14:21

List Question

If $\sum a_n$ diverges then $\sum \frac{a_n}{\ln n}$ diverges

Examples of uses for the order topology

An Inclusion-Strict Notion of Homotopy

Conjecture-refinement related to Nesbitt's inequality

Existence and uniquenness of a point attains the distance between a point and a nonconvex set?

Construction of a special power series

Which of the following statements are true for the elements in $\mathscr S\ $?

Struggling to find a counterexample to a weakening of MCT/DCT

Is there a locally compact, locally path-connected, connected metric space that is not a length space?

Counterexample for $L^p$-convergence

Example of a $\mathcal{C}^0$-Caratheodory function

Does there exist a Lipschitz injective map whose derivative vanishes on a set of positive measure?

Examples of probability distributions that the product of their random variable is also in same distribution.

Find a metric space that every subset has an empty boundary set

$f:X\to Y$ and $g:Y\to X$ are bijective and continuous. Then two metric spaces $X$ and $Y$ are homeomorphic?

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