List questions from examples-counterexamples

Published on 29 Mar 2026 - 8:14

120

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Why is this weaker then Uniform Integrability?

Published on 16 Apr 2026 - 17:43

70

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For matrix $A$, find matrices $R,C$ diagonal, $P$ permutation, $B$ with unit row and column sup norms and unit diagonal s.t. $A=RBCP$.

Published on 13 Apr 2026 - 10:45

1.9k

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Examples of improper integrals conditionally convergent

Published on 25 Mar 2026 - 19:51

104

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A counter example regarding differentiability of a function while a certain limit exists

Published on 14 Apr 2026 - 13:21

372

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A content which is lower and upper continuous, but not sigma additive

Published on 12 Apr 2026 - 10:27

2.7k

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Examples of super- and sub- martingale, which is not a random walk, nor a function of such

Published on 08 Apr 2026 - 17:32

36

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A possibly incorrect problem on differentiability that lacks some information

Published on 10 Apr 2026 - 17:46

3.6k

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Closure of an open set

Published on 14 Apr 2026 - 1:37

612

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Short exact sequence of topological groups which is split, but not topologically split

Published on 14 Apr 2026 - 10:18

459

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Why are these 'counter' examples in topology?

Published on 13 Apr 2026 - 20:28

1.1k

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Locally metrizable but not metrizable space

Published on 14 Apr 2026 - 5:45

104

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Prove that if removing 3 vertices from a connected graph results in a connected graph, then there exists a 3-fan to those 3 vertices

Published on 16 Apr 2026 - 15:06

323

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Counter-example for continuous function

Published on 12 Apr 2026 - 5:59

173

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$S_n$ action on the power set of a set with $n - 1$ elements.

Published on 14 Apr 2026 - 23:56

List Question

Collatz Conjecture and the Set Theory

Why is this weaker then Uniform Integrability?

For matrix $A$, find matrices $R,C$ diagonal, $P$ permutation, $B$ with unit row and column sup norms and unit diagonal s.t. $A=RBCP$.

Examples of improper integrals conditionally convergent

A counter example regarding differentiability of a function while a certain limit exists

A content which is lower and upper continuous, but not sigma additive

Examples of super- and sub- martingale, which is not a random walk, nor a function of such

A possibly incorrect problem on differentiability that lacks some information

Closure of an open set

Short exact sequence of topological groups which is split, but not topologically split

Why are these 'counter' examples in topology?

Locally metrizable but not metrizable space

Prove that if removing 3 vertices from a connected graph results in a connected graph, then there exists a 3-fan to those 3 vertices

Counter-example for continuous function

$S_n$ action on the power set of a set with $n - 1$ elements.

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