List questions from examples-counterexamples

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Example of a Specific Set

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Example Of a Proper noncyclic Subgroup of rationals

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Examples of when inclusion is proper

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Two non-homeomorphic connected, hausdorff, locally compact spaces whose one-point compactifications are homeomorphic

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Example of quotient mapping that is not open

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How to prove that a sphere in $ \mathbb{R}^3 $ can't be a parametric surface

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How can a bounded subspace of the left order topology be compact?

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Why is the empty set a subset of every set?

Published on 17 Apr 2026 - 7:12

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What is your favorite group?

Published on 10 Apr 2026 - 19:49

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A counterexample on compactness (closed vs complete)

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Weakened associativity axiom: $(x * y) * z \leq x(yz).$

Published on 16 Apr 2026 - 0:46

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Convex Function Help and Counterxample

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Proving $A \cap C = B \cap C$, but $ A \neq B$

Published on 12 Apr 2026 - 7:55

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Showing that the hypothesis that $m (E) <\infty $ is essential in the Egoroff's theorem.

Published on 15 Apr 2026 - 20:58

List Question

Examples of non-Riemann integrable functions that appear "in nature"?

Example of a Specific Set

Example Of a Proper noncyclic Subgroup of rationals

Examples of when inclusion is proper

Two non-homeomorphic connected, hausdorff, locally compact spaces whose one-point compactifications are homeomorphic

Example of quotient mapping that is not open

How to prove that a sphere in $ \mathbb{R}^3 $ can't be a parametric surface

How can a bounded subspace of the left order topology be compact?

Why is the empty set a subset of every set?

What is your favorite group?

A counterexample on compactness (closed vs complete)

Weakened associativity axiom: $(x * y) * z \leq x(yz).$

Convex Function Help and Counterxample

Proving $A \cap C = B \cap C$, but $ A \neq B$

Showing that the hypothesis that $m (E) <\infty $ is essential in the Egoroff's theorem.

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