List questions from examples-counterexamples

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Can we have a continuous choice in the mean value theorem

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Topological manifold but not "smooth"

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Convergent series which is not absolutely convergent in $(X,\|\cdot\|)$

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Counter example to Stone Weierstrass Theorem

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Second derivative of a set in non-Fréchet space

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How can I provide a counterexample for this predicate logic problem?

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$\nabla ^2 G$ meaning

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A function not differentiable at a point but whose derivative has a limit

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Which groups $G$ has the property that for all subgroups $H$ , there is a surjective map from $G$ to $H$?

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Does equal cardinality and one set being a subset of the other prove equality?

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Counter example of Algebraic sets

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What are some interesting counterexamples given by finite topological spaces?

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Show that every nearly compact space is almost compact space but the converse is not true

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Two alleged counterexamples (about boolean algebras)

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List Question

Counterexample: Continuous, but not uniformly continuous functions do not preserve Cauchy Sequences

Can we have a continuous choice in the mean value theorem

Topological manifold but not "smooth"

Convergent series which is not absolutely convergent in $(X,\|\cdot\|)$

Counter example to Stone Weierstrass Theorem

Second derivative of a set in non-Fréchet space

How can I provide a counterexample for this predicate logic problem?

$\nabla ^2 G$ meaning

A function not differentiable at a point but whose derivative has a limit

Which groups $G$ has the property that for all subgroups $H$ , there is a surjective map from $G$ to $H$?

Does equal cardinality and one set being a subset of the other prove equality?

Counter example of Algebraic sets

What are some interesting counterexamples given by finite topological spaces?

Show that every nearly compact space is almost compact space but the converse is not true

Two alleged counterexamples (about boolean algebras)

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