List questions from examples-counterexamples

Published on 01 Apr 2026 - 0:27

89

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Vanishing of $r$-fold cup-products

Published on 28 Sep 2023 - 13:11

68

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Cohomology determining homotopy type

Published on 28 Sep 2023 - 14:08

76

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(Solved) Zeroth compactly supported cohomology

Published on 30 Sep 2023 - 12:36

65

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Variation of a sequence of approximations : $u_n = \lfloor nx\rfloor/n$

Published on 31 Mar 2026 - 10:17

115

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Construct a class of $n$-vertex maximal planar graphs with chromatic number 4 and independence number $\lceil \frac{n}{4} \rceil + 1$

Published on 27 Mar 2026 - 5:38

93

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Confusion About a Counterexample to a Statement

Published on 02 Oct 2023 - 13:41

54

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Monotonic increasing smooth function such that $f(0) = 0$ and $\lim_{x \to \infty} f(x) = C$ with $C < \infty$

Published on 28 Mar 2026 - 10:41

33

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For what function does the homogeneity of lower Lebesgue integral fail?

Published on 03 Oct 2023 - 9:08

76

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$A\subset\mathbb{N};A_N=\lvert A\cap\{1,\ldots,N\}\rvert.$ Does $\sum_{n\in A} \frac{1}{n}$ diverges $\implies\sum\frac{A_N}{N^2}$ diverges?

Published on 03 Oct 2023 - 12:42

82

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When a binary relation is connected?

Published on 03 Apr 2026 - 15:07

74

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Construct an infinite set of functions such that $\|f_i - f_j\|_\infty \geq 1/2$ for all $i\neq j$

Published on 05 Oct 2023 - 17:11

39

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Counterexample for measure and some property of nonmeasurable

Published on 06 Oct 2023 - 7:58

63

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Name of a certain topological space

Published on 08 Oct 2023 - 17:57

88

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Product of non commutative periodic elements which is NOT periodic

Published on 26 Mar 2026 - 17:35

List Question

Prove equality of functions satisfying a periodic relation

Vanishing of $r$-fold cup-products

Cohomology determining homotopy type

(Solved) Zeroth compactly supported cohomology

Variation of a sequence of approximations : $u_n = \lfloor nx\rfloor/n$

Construct a class of $n$-vertex maximal planar graphs with chromatic number 4 and independence number $\lceil \frac{n}{4} \rceil + 1$

Confusion About a Counterexample to a Statement

Monotonic increasing smooth function such that $f(0) = 0$ and $\lim_{x \to \infty} f(x) = C$ with $C < \infty$

For what function does the homogeneity of lower Lebesgue integral fail?

$A\subset\mathbb{N};A_N=\lvert A\cap\{1,\ldots,N\}\rvert.$ Does $\sum_{n\in A} \frac{1}{n}$ diverges $\implies\sum\frac{A_N}{N^2}$ diverges?

When a binary relation is connected?

Construct an infinite set of functions such that $\|f_i - f_j\|_\infty \geq 1/2$ for all $i\neq j$

Counterexample for measure and some property of nonmeasurable

Name of a certain topological space

Product of non commutative periodic elements which is NOT periodic

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