List questions from examples-counterexamples

Published on 26 Mar 2026 - 8:00

451

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Example where $f$ is discontinuous

Published on 08 Apr 2014 - 12:05

470

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Example of two finitely isomorphic structures (or $\omega$-isomorphic) that are not partially isomorphic?

Published on 28 Mar 2026 - 3:34

438

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Example of a Riemann integrable function which is not a simple function

Published on 09 Apr 2014 - 15:27

2k

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Compact topological space not having Countable Basis?

Published on 25 Mar 2026 - 6:17

6.5k

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Function in $H^1$, but not continuous

Published on 11 Apr 2014 - 1:01

2.7k

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Give an example of non-normal subspace of a normal space.

Published on 25 Mar 2026 - 12:53

596

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Counterexample for Hartogs' Extension Theorem

Published on 26 Mar 2026 - 12:43

369

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Is this an example of a sequential non-Fréchet–Urysohn space?

Published on 15 Apr 2014 - 10:38

303

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Smash products of pointed spaces is really not associative

Published on 15 Apr 2014 - 16:56

2.1k

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What would be an example such that $aH=bH$ but $Ha \neq Hb$?

Published on 15 Apr 2014 - 20:17

241

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A topological space which is Frechet but not Strictly-Frechet.

Published on 16 Apr 2014 - 10:56

7.9k

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Give an example of a non-separable subspace of a separable space

Published on 25 Mar 2026 - 17:39

68

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Blowup of ODEs in the presence of local Lipschitzianity?

Published on 18 Apr 2014 - 11:25

6.7k

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Is it necessary that every function is a derivative of some function?

Published on 19 Apr 2014 - 17:24

List Question

I have a conjecture on local max/min , can any of you propose a contradiction?

Example where $f$ is discontinuous

Example of two finitely isomorphic structures (or $\omega$-isomorphic) that are not partially isomorphic?

Example of a Riemann integrable function which is not a simple function

Compact topological space not having Countable Basis?

Function in $H^1$, but not continuous

Give an example of non-normal subspace of a normal space.

Counterexample for Hartogs' Extension Theorem

Is this an example of a sequential non-Fréchet–Urysohn space?

Smash products of pointed spaces is really not associative

What would be an example such that $aH=bH$ but $Ha \neq Hb$?

A topological space which is Frechet but not Strictly-Frechet.

Give an example of a non-separable subspace of a separable space

Blowup of ODEs in the presence of local Lipschitzianity?

Is it necessary that every function is a derivative of some function?

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