List questions from examples-counterexamples

Published on 13 Apr 2026 - 17:42

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if a continuous function is smooth everywhere except at a point , must it be everywhere smooth?

Published on 14 Apr 2026 - 16:54

196

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Are there integral domains of dimension two with exactly four primes? How do they look like?

Published on 14 Apr 2026 - 15:17

646

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Examples of proper loops in $\mathbb{R}$

Published on 09 Apr 2026 - 6:04

628

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An example of isomorphic groups from the real life that is hard to notice.

Published on 14 Apr 2026 - 20:04

794

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Sequentially compact subset of Hausdorff space closed?

Published on 12 Apr 2026 - 10:52

137

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The radical of a finitely presented ideal

Published on 12 Apr 2026 - 17:36

109

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Non-Equivalent knots which are indistinguishable by colourings

Published on 26 Mar 2026 - 14:42

979

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Converging sequence of non bounded variation

Published on 14 Apr 2026 - 7:15

236

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Non-Hausdorff Space With Only One Limit

Published on 12 Apr 2026 - 9:35

175

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Example of a group which is not a free product

Published on 11 Apr 2026 - 6:22

59

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Is every Lindelöf quasi-metrizable space separable?

Published on 11 Apr 2026 - 12:50

1.5k

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Closed set which does not have open subsets

Published on 10 Apr 2026 - 9:48

91

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In $\mathbb R^n$ with usual topology (euclidean metric), exists a bounded open set $A$ such that $A$ is different from the interior of its closure?

Published on 14 Apr 2026 - 5:16

1.2k

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Non-existence of bijective, continuous function from $(0,1)$ to $[0,1]$

Published on 15 Apr 2026 - 19:31

List Question

Good examples of Everyday Isomorphisms

if a continuous function is smooth everywhere except at a point , must it be everywhere smooth?

Are there integral domains of dimension two with exactly four primes? How do they look like?

Examples of proper loops in $\mathbb{R}$

An example of isomorphic groups from the real life that is hard to notice.

Sequentially compact subset of Hausdorff space closed?

The radical of a finitely presented ideal

Non-Equivalent knots which are indistinguishable by colourings

Converging sequence of non bounded variation

Non-Hausdorff Space With Only One Limit

Example of a group which is not a free product

Is every Lindelöf quasi-metrizable space separable?

Closed set which does not have open subsets

In $\mathbb R^n$ with usual topology (euclidean metric), exists a bounded open set $A$ such that $A$ is different from the interior of its closure?

Non-existence of bijective, continuous function from $(0,1)$ to $[0,1]$

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