List questions from examples-counterexamples

Published on 17 Jun 2015 - 21:13

259

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A simple example of a base point of a linear series

Published on 19 Jun 2015 - 20:32

1.6k

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Example of a continuous non-lipschitz function with domain $[0,1]$ and co-domain $\mathbb R$

Published on 29 Mar 2026 - 17:27

217

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If the $(n-1)$th moment exists does the $n$th moment necessarily exist?

Published on 04 Apr 2026 - 8:19

10.5k

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A function that is bounded and measurable but not Lebesgue integrable

Published on 21 Jun 2015 - 14:05

738

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Collection is uniformly integrable, but individual is not integrable

Published on 26 Mar 2026 - 12:46

70

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If $\sum a_{2k}$ exists then $\sum a_m$ exists?

Published on 22 Jun 2015 - 5:01

574

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Looking for an example of an increasing function $f:[a,b] \to [a,b]$ which is discontinuous at infinitely many points

Published on 23 Jun 2015 - 1:51

780

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Counter exchanging limit and integral

Published on 23 Jun 2015 - 12:48

2.5k

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Non-example for vector space

Published on 24 Jun 2015 - 15:18

497

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Reconciling two different definitions of constructible sets

Published on 24 Jun 2015 - 18:41

544

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An example for infinite dimensional vector space with Hamel dimension smaller than $\operatorname{card} F$

Published on 26 Jun 2015 - 2:18

61

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Can we find an example?

Published on 31 Mar 2026 - 15:49

119

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Example verification: $E$ and $E'$ might not have the same limit points

Published on 27 Jun 2015 - 19:55

211

Views

Understanding an example of a prime-like non-finite additive basis

Published on 26 Mar 2026 - 6:29

List Question

What's an example where this definition of measure has a limit that does not exist?

A simple example of a base point of a linear series

Example of a continuous non-lipschitz function with domain $[0,1]$ and co-domain $\mathbb R$

If the $(n-1)$th moment exists does the $n$th moment necessarily exist?

A function that is bounded and measurable but not Lebesgue integrable

Collection is uniformly integrable, but individual is not integrable

If $\sum a_{2k}$ exists then $\sum a_m$ exists?

Looking for an example of an increasing function $f:[a,b] \to [a,b]$ which is discontinuous at infinitely many points

Counter exchanging limit and integral

Non-example for vector space

Reconciling two different definitions of constructible sets

An example for infinite dimensional vector space with Hamel dimension smaller than $\operatorname{card} F$

Can we find an example?

Example verification: $E$ and $E'$ might not have the same limit points

Understanding an example of a prime-like non-finite additive basis

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