List questions from examples-counterexamples

Published on 22 Sep 2015 - 19:09

775

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Do subgroup and quotient group define a group?

Published on 09 Apr 2026 - 4:01

426

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Example of an additive but not linear map beetween real topological linear spaces

Published on 24 Sep 2015 - 11:16

195

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How to Prove It,4.4,Ex 23, Partial Orders

Published on 06 Apr 2026 - 6:29

48

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Convergence in $L_p$ does not imply "a.s." convergence

Published on 08 Apr 2026 - 17:21

198

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Provide an example of a locally Euclidean, paracompact Hausdorff space but not have a countable basis.

Published on 26 Sep 2015 - 9:13

366

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Induced measure needs not to be sigma-finite

Published on 27 Sep 2015 - 5:24

1.7k

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change the order of sup and inf

Published on 03 Apr 2026 - 13:18

117

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Linear functional on Schwartz space non-continuous

Published on 26 Mar 2026 - 22:19

26.6k

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Does A∪C=B∪C imply A = B? What about intersection instead of union?

Published on 28 Sep 2015 - 10:19

12

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Image of a product of opens

Published on 27 Feb 2026 - 2:01

71

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Counterexample to $G_2/G_1$ abelian implies $(A\cap G_2)/(A\cap G_1)$ abelian.

Published on 02 Apr 2026 - 3:47

2.5k

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Concrete examples and computations in differential geometry

Published on 08 Apr 2026 - 12:39

350

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Need a counterexample related to Interior and Closure

Published on 29 Sep 2015 - 15:23

1.7k

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Closed, simply connected manifolds which are not spheres

Published on 30 Mar 2026 - 10:43

List Question

p - norms inequality

Do subgroup and quotient group define a group?

Example of an additive but not linear map beetween real topological linear spaces

How to Prove It,4.4,Ex 23, Partial Orders

Convergence in $L_p$ does not imply "a.s." convergence

Provide an example of a locally Euclidean, paracompact Hausdorff space but not have a countable basis.

Induced measure needs not to be sigma-finite

change the order of sup and inf

Linear functional on Schwartz space non-continuous

Does A∪C=B∪C imply A = B? What about intersection instead of union?

Image of a product of opens

Counterexample to $G_2/G_1$ abelian implies $(A\cap G_2)/(A\cap G_1)$ abelian.

Concrete examples and computations in differential geometry

Need a counterexample related to Interior and Closure

Closed, simply connected manifolds which are not spheres

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