List questions from topological-groups

Published on 04 Dec 2017 - 19:34

43

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If $G$ has a strongly complete open subgroup, then $G$ is strongly complete

Published on 26 Mar 2026 - 11:16

44

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When is $C_0(X)$ an ideal?

Published on 05 Dec 2017 - 5:27

61

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$f$ is a multiple of $g$ $\Longleftrightarrow$ $Z(f) \supset Z(g)$

Published on 01 Apr 2026 - 0:25

172

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Using a cut-point to break a homeomorphism

Published on 10 Dec 2017 - 21:13

231

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Showing a topology is connected

Published on 11 Dec 2017 - 15:10

1.5k

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Showing two topological spaces are not homeomorphic

Published on 27 Mar 2026 - 10:45

38

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Why is such a $G$ compact ?

Published on 17 Dec 2017 - 21:20

179

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Homeomorphism between Kronecker product $U(N)\otimes U(k)$ and a direct product of Lie groups

Published on 21 Dec 2017 - 14:23

103

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Expressing the inverse limit of a system of inverse limits of profinite spaces in a specific way

Published on 26 Mar 2026 - 8:02

330

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$X$ is basically disconnected if and only if every pair of disjoint open sets have disjoint closures?

Published on 23 Dec 2017 - 16:58

134

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Each $C^*$-embedded subset $S$ of a first countable Tychonoff space $X$ is closed.

Published on 25 Mar 2026 - 19:03

40

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let $h:X→Y$ be continuous, with $h(x_0)=y_0$ and $h(x_1)=y_1$ . Show that $\widehat{\beta}∘(h_{x0})_∗=(h_{x1})_∗∘\widehat{\alpha}$.

Published on 27 Dec 2017 - 17:46

103

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Topology on two dimensional local fields

Published on 26 Mar 2026 - 3:10

210

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True or False: "The span of a set $U$ that is dense in the closed unit ball $S$ of a Banach Space $X$ is $X$"

Published on 01 Apr 2026 - 10:08

List Question

$C$-embedded and zero-set

If $G$ has a strongly complete open subgroup, then $G$ is strongly complete

When is $C_0(X)$ an ideal?

$f$ is a multiple of $g$ $\Longleftrightarrow$ $Z(f) \supset Z(g)$

Using a cut-point to break a homeomorphism

Showing a topology is connected

Showing two topological spaces are not homeomorphic

Why is such a $G$ compact ?

Homeomorphism between Kronecker product $U(N)\otimes U(k)$ and a direct product of Lie groups

Expressing the inverse limit of a system of inverse limits of profinite spaces in a specific way

$X$ is basically disconnected if and only if every pair of disjoint open sets have disjoint closures?

Each $C^*$-embedded subset $S$ of a first countable Tychonoff space $X$ is closed.

let $h:X→Y$ be continuous, with $h(x_0)=y_0$ and $h(x_1)=y_1$ . Show that $\widehat{\beta}∘(h_{x0})_∗=(h_{x1})_∗∘\widehat{\alpha}$.

Topology on two dimensional local fields

True or False: "The span of a set $U$ that is dense in the closed unit ball $S$ of a Banach Space $X$ is $X$"

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