List questions from examples-counterexamples

Published on 24 Mar 2026 - 19:49

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Number of maxima of the sum of two functions

Published on 31 Jul 2019 - 13:33

122

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Does the sequence $x_n = \sin\left([\text{first } n \text{ digits of } \pi] \cdot 10^{n - 1} \right)$ converge?

Published on 31 Jul 2019 - 16:26

136

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Interesting explicit convergent subsequence for not converging bounded sequence

Published on 26 Mar 2026 - 17:42

67

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A question about interior.

Published on 01 Aug 2019 - 16:05

171

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Counterexample with finite index

Published on 04 Aug 2019 - 21:16

96

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If $X\approx Y$ and $X$ is convex then $Y$ might not be convex

Published on 05 Aug 2019 - 15:59

303

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Square root and Cubic root of a Matrix

Published on 05 Aug 2019 - 17:27

52

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Understanding counter-example for - is finite set real (Mathematics Form & Function)

Published on 05 Aug 2019 - 18:52

60

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Non-maximal prime ideal that is maximal among prime ideals

Published on 06 Aug 2019 - 14:46

68

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Give an example of $h$ and $h_n$ where h is not continuous at $0$.

Published on 23 Feb 2026 - 19:22

1.1k

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Must a ring (commutative, with 1), in which every non-zero ideal is prime, be a field?

Published on 08 Aug 2019 - 22:05

170

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Inequality involving sum of fractions

Published on 09 Aug 2019 - 13:35

168

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Example of compact whose open subspace is not locally compact

Published on 09 Aug 2019 - 13:55

814

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Is $\overline{f(z)}=f(\overline z)$ always?

Published on 26 Mar 2026 - 11:04

List Question

Pointwise convergence of uniformly continuous functions to zero, but not uniformly

Number of maxima of the sum of two functions

Does the sequence $x_n = \sin\left([\text{first } n \text{ digits of } \pi] \cdot 10^{n - 1} \right)$ converge?

Interesting explicit convergent subsequence for not converging bounded sequence

A question about interior.

Counterexample with finite index

If $X\approx Y$ and $X$ is convex then $Y$ might not be convex

Square root and Cubic root of a Matrix

Understanding counter-example for - is finite set real (Mathematics Form & Function)

Non-maximal prime ideal that is maximal among prime ideals

Give an example of $h$ and $h_n$ where h is not continuous at $0$.

Must a ring (commutative, with 1), in which every non-zero ideal is prime, be a field?

Inequality involving sum of fractions

Example of compact whose open subspace is not locally compact

Is $\overline{f(z)}=f(\overline z)$ always?

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