List questions from examples-counterexamples

Published on 14 Dec 2018 - 2:58

210

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If $\frac {a}{3^{x-1}}=\frac{b}{3^{y+2}}=\frac{c}{3^{z-1}}=\frac 15\;$ then which of the following equals $a×b×c$?

Published on 26 Mar 2026 - 9:41

1.2k

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Find all matrices which satisfy $M^2-3M+3I = 0$

Published on 14 Dec 2018 - 21:40

2.1k

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Example of a sequence of bounded functions $(f_n)$ on $[0, 1]$ which converges pointwise to an unbounded function $f$

Published on 15 Dec 2018 - 11:29

592

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Find an example of a random vector $X$ with its sub-gaussian norm much larger than any of its coordinates'.

Published on 17 Dec 2018 - 8:10

172

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Is every normable topological vector space "inner productable"?

Published on 26 Mar 2026 - 6:20

340

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When is a topological vector space “inner product-able”?

Published on 26 Mar 2026 - 6:18

267

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If a function is uniformly continuous restricted to each line, is it globally uniformly continuous?

Published on 26 Mar 2026 - 23:10

116

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Is every metrizable topology induced by a Heine-Borel metric?

Published on 19 Dec 2018 - 6:03

44

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A question related to the mean value theorem

Published on 20 Dec 2018 - 1:26

137

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When is a bornology on a uniformizable space induced by a uniformity?

Published on 22 Feb 2026 - 23:10

130

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What topological spaces satisfy a property involving relatively compact sets?

Published on 25 Mar 2026 - 4:57

136

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Is every separable locally compact metrizable topology induced by a Heine-Borel metric?

Published on 25 Mar 2026 - 11:23

116

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We know an example iff any exist

Published on 26 Mar 2026 - 11:24

94

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What topological spaces satisfy another property involving relatively compact sets?

Published on 25 Mar 2026 - 4:57

List Question

If $A\subseteq B$, then $A'\subseteq B'$

If $\frac {a}{3^{x-1}}=\frac{b}{3^{y+2}}=\frac{c}{3^{z-1}}=\frac 15\;$ then which of the following equals $a×b×c$?

Find all matrices which satisfy $M^2-3M+3I = 0$

Example of a sequence of bounded functions $(f_n)$ on $[0, 1]$ which converges pointwise to an unbounded function $f$

Find an example of a random vector $X$ with its sub-gaussian norm much larger than any of its coordinates'.

Is every normable topological vector space "inner productable"?

When is a topological vector space “inner product-able”?

If a function is uniformly continuous restricted to each line, is it globally uniformly continuous?

Is every metrizable topology induced by a Heine-Borel metric?

A question related to the mean value theorem

When is a bornology on a uniformizable space induced by a uniformity?

What topological spaces satisfy a property involving relatively compact sets?

Is every separable locally compact metrizable topology induced by a Heine-Borel metric?

We know an example iff any exist

What topological spaces satisfy another property involving relatively compact sets?

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