List questions from examples-counterexamples

Published on 28 Mar 2026 - 1:06

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Have I found a counterexample in this question?

Published on 15 Apr 2026 - 2:53

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Examples of $X$ halts IFF $Y$ does not halt?

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Elements of a factor group

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two distinct elements of $GL_2(\mathbb{R})/SL_2(\mathbb{R})$.

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Isomorphic Groups Example

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Isomorphic Groups of prime/not prime orders

Published on 11 Apr 2026 - 22:41

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Homorphism with injective and surjective

Published on 17 Apr 2026 - 11:23

132

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Infinite subsets of $\mathbb{N} \times Y$ have a limit point.

Published on 11 Apr 2026 - 21:30

125

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Maximum and minimum restricted

Published on 12 Apr 2026 - 22:54

360

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A counterexample of a differentiable function on an interval whose derivative is discontinuous

Published on 14 Apr 2026 - 14:18

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If the limit of a real-valued function on $[a,b]$ exists on every point of the interval, is it necessary to be bounded on $[a,b]$?

Published on 15 Apr 2026 - 19:51

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Differentiability on the boundary of $[a,b]$

Published on 17 Apr 2026 - 2:43

508

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Let $(X,\tau)$ be a topological space. If $X$ has the Bolzano-Weierstrass property then $X$ is compact.

Published on 14 Apr 2026 - 16:35

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The set of all equivalence classes of an equivalence relation on a uncountable set may be countable or uncountable.

Published on 16 Apr 2026 - 2:40

List Question

Examples of explicit solutions of elliptic PDE with nonconstant coefficients

Have I found a counterexample in this question?

Examples of $X$ halts IFF $Y$ does not halt?

Elements of a factor group

two distinct elements of $GL_2(\mathbb{R})/SL_2(\mathbb{R})$.

Isomorphic Groups Example

Isomorphic Groups of prime/not prime orders

Homorphism with injective and surjective

Infinite subsets of $\mathbb{N} \times Y$ have a limit point.

Maximum and minimum restricted

A counterexample of a differentiable function on an interval whose derivative is discontinuous

If the limit of a real-valued function on $[a,b]$ exists on every point of the interval, is it necessary to be bounded on $[a,b]$?

Differentiability on the boundary of $[a,b]$

Let $(X,\tau)$ be a topological space. If $X$ has the Bolzano-Weierstrass property then $X$ is compact.

The set of all equivalence classes of an equivalence relation on a uncountable set may be countable or uncountable.

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