List questions from examples-counterexamples

Published on 29 Mar 2026 - 13:27

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specific magma examples

Published on 26 Mar 2026 - 20:08

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Sobolev embedding counterexample

Published on 25 Mar 2026 - 9:12

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If $f$ takes $[-1,1]$ onto $[-1,1]$ then $f^{-1}(\{f(0)\})=\{0\}$

Published on 30 Mar 2026 - 3:56

61

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A Tychonov space non-homogeneous wrt neiborhood bases cardinality

Published on 05 Sep 2014 - 9:42

836

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Does there exist a non-abelian group with roots?

Published on 07 Sep 2014 - 6:16

228

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Can analytic function be represented as a taylor series?

Published on 09 Sep 2014 - 6:32

142

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Question on Taylor's theorem

Published on 09 Sep 2014 - 7:49

727

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Finding a $C^1$ function $F(x,y)$ that is not of class $C^2$

Published on 09 Sep 2014 - 18:10

2k

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Abelian category without enough injectives

Published on 09 Sep 2014 - 20:09

452

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A perfect Hausdorff space that is not metrizable.

Published on 10 Sep 2014 - 16:08

267

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Examples of "finite character"

Published on 10 Sep 2014 - 23:09

69

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A function with only a partial derivative not Hölder-continuous

Published on 25 Mar 2026 - 9:13

5.1k

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Is it true that if $x_n$ converges and $y_n$ is bounded, then $x_ny_n$ converges?

Published on 12 Sep 2014 - 1:57

547

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Example of two non-isomorphic fields which embed inside each other

Published on 12 Sep 2014 - 20:56

List Question

Nested Sum Encountered in Maclaurin Expansion of $e^{-x^2}$

specific magma examples

Sobolev embedding counterexample

If $f$ takes $[-1,1]$ onto $[-1,1]$ then $f^{-1}(\{f(0)\})=\{0\}$

A Tychonov space non-homogeneous wrt neiborhood bases cardinality

Does there exist a non-abelian group with roots?

Can analytic function be represented as a taylor series?

Question on Taylor's theorem

Finding a $C^1$ function $F(x,y)$ that is not of class $C^2$

Abelian category without enough injectives

A perfect Hausdorff space that is not metrizable.

Examples of "finite character"

A function with only a partial derivative not Hölder-continuous

Is it true that if $x_n$ converges and $y_n$ is bounded, then $x_ny_n$ converges?

Example of two non-isomorphic fields which embed inside each other

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