Question

continuous group homomorphism profinite/discrete topology

score 197 · Answer 1 · 2026-03-25 06:01:22

197

Views

continuous group homomorphism profinite/discrete topology

Published on 25 Mar 2026 - 6:01

score 762 · Answer 2 · 2019-06-19 12:52:18

762

Views

Sierpiński space

Published on 19 Jun 2019 - 12:52

score 109 · Answer 3 · 2026-03-25 11:20:08

109

Views

Do every infinite locally compact Hausdorff group has infinitely many closed subgroup?

Published on 25 Mar 2026 - 11:20

score 30 · Answer 4 · 2026-03-25 22:04:23

30

Views

The group is a product of its connected component and a discrete subgroup

Published on 25 Mar 2026 - 22:04

score 89 · Answer 5 · 2026-03-25 11:20:17

89

Views

For a connected semisimple Lie group $G$, $\mathrm{Inn}(G)$ is a subgroup of finite index in $\mathrm{Aut}(G)$.

Published on 25 Mar 2026 - 11:20

score 27 · Answer 6 · 2026-03-25 11:20:14

27

Views

What are all invariant random subgroup on Sub ($R^n$) and Sub($G$)?

Published on 25 Mar 2026 - 11:20

score 115 · Answer 7 · 2019-06-30 14:11:59

115

Views

Every continuous homomorphism $S^1 \rightarrow S^1$ is of the form $x \mapsto x^n$ for $n \in \mathbb Z$

Published on 30 Jun 2019 - 14:11

score 154 · Answer 8 · 2019-07-01 11:59:16

154

Views

Let $G$ be a connected matrix group and let $H$ be any subgroup of $G$ containing open nbhd $U$ of $e$. Then $H=G$.

Published on 01 Jul 2019 - 11:59

score 92 · Answer 9 · 2026-03-25 12:53:00

92

Views

Does $S^n$ admit expansive homeomorphism for some $n \ge 3$?

Published on 25 Mar 2026 - 12:53

score 50 · Answer 10 · 2019-07-04 12:00:18

50

Views

Union of topological subgroups which intersect only at $0$

Published on 04 Jul 2019 - 12:00

score 125 · Answer 11 · 2019-07-06 03:46:32

125

Views

Invariant measure on coset space and integrable functions

Published on 06 Jul 2019 - 3:46

score 61 · Answer 12 · 2026-03-25 12:50:02

61

Views

The absolute convergence of (say) $\sum\limits_{n \in \mathbb Z} f(x+n)dx$ when $f$ is continuous and in $L^1(\mathbb R)$

Published on 25 Mar 2026 - 12:50

score 288 · Answer 13 · 2019-07-07 06:16:59

288

Views

Why is the equivalent Cauchy sequence in a topological group well-defined?

Published on 07 Jul 2019 - 6:16

score 62 · Answer 14 · 2019-07-09 12:30:48

62

Views

Self homeomorphisms of a cube

Published on 09 Jul 2019 - 12:30

score 452 · Answer 15 · 2026-03-25 04:43:31

452

Views

$p^i\mathbb {Z}_p$ is an open subgroup of $\mathbb {Z}_p$ of index $p^i$, where $\mathbb {Z}_p$ is the group of p-adic integers

Published on 25 Mar 2026 - 4:43

List Question

continuous group homomorphism profinite/discrete topology

Sierpiński space

Do every infinite locally compact Hausdorff group has infinitely many closed subgroup?

The group is a product of its connected component and a discrete subgroup

For a connected semisimple Lie group $G$, $\mathrm{Inn}(G)$ is a subgroup of finite index in $\mathrm{Aut}(G)$.

What are all invariant random subgroup on Sub ($R^n$) and Sub($G$)?

Every continuous homomorphism $S^1 \rightarrow S^1$ is of the form $x \mapsto x^n$ for $n \in \mathbb Z$

Let $G$ be a connected matrix group and let $H$ be any subgroup of $G$ containing open nbhd $U$ of $e$. Then $H=G$.

Does $S^n$ admit expansive homeomorphism for some $n \ge 3$?

Union of topological subgroups which intersect only at $0$

Invariant measure on coset space and integrable functions

The absolute convergence of (say) $\sum\limits_{n \in \mathbb Z} f(x+n)dx$ when $f$ is continuous and in $L^1(\mathbb R)$

Why is the equivalent Cauchy sequence in a topological group well-defined?

Self homeomorphisms of a cube

$p^i\mathbb {Z}_p$ is an open subgroup of $\mathbb {Z}_p$ of index $p^i$, where $\mathbb {Z}_p$ is the group of p-adic integers

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