Question

Topology question on homeomorphism

score 57 · Answer 1 · 2020-10-31 14:02:15

57

Views

Topology question on homeomorphism

Published on 31 Oct 2020 - 14:02

score 375 · Answer 2 · 2020-11-02 13:42:06

375

Views

Is the space of left cosets of a topological group completely regular?

Published on 02 Nov 2020 - 13:42

score 103 · Answer 3 · 2026-03-27 00:59:58

103

Views

The correspondence of topologies of different definitions of local fields?

Published on 27 Mar 2026 - 0:59

score 295 · Answer 4 · 2026-03-26 19:35:54

295

Views

Topological and algebraic groups

Published on 26 Mar 2026 - 19:35

score 158 · Answer 5 · 2020-11-04 17:13:12

158

Views

A "simple, detailed" reference for Topological groups, which is sufficient for number-theoretic reasons.

Published on 04 Nov 2020 - 17:13

score 39 · Answer 6 · 2020-11-07 15:20:59

39

Views

Show convolution on a compact group is continuous

Published on 07 Nov 2020 - 15:20

score 301 · Answer 7 · 2020-11-07 15:32:56

301

Views

Hausdorff topological group is topologically isomorphic to a subgroup closed of a Hausdorff topological group

Published on 07 Nov 2020 - 15:32

score 55 · Answer 8 · 2020-11-07 15:41:53

55

Views

$\{a_1,...,a_n,b\}$ is discrete if and only if $t_j \in \mathbb{Q}$

Published on 07 Nov 2020 - 15:41

score 38 · Answer 9 · 2020-11-07 19:56:06

38

Views

If $\lbrace y_{k}\rbrace_{k\in K}$ is a net such that $e^{ixy_{k}}\to 1$ pointwise, then $y_{k}\to 0$

Published on 07 Nov 2020 - 19:56

score 230 · Answer 10 · 2026-03-27 06:08:53

230

Views

Application of Peter-Weyl theorem: groups with no small-subgroups admit a faithful finite-dimensional representation

Published on 27 Mar 2026 - 6:08

score 479 · Answer 11 · 2026-03-30 15:15:54

479

Views

Pontryagin dual for non abelian $\widehat G := \operatorname{Hom}(G, T) $?

Published on 30 Mar 2026 - 15:15

score 67 · Answer 12 · 2020-11-09 20:49:19

67

Views

Let $ G, H $ be Hausdorff topological groups, $ f $ is a continuous homomorphism between these. Prove that $f$ is open.

Published on 09 Nov 2020 - 20:49

score 1.1k · Answer 13 · 2026-03-26 09:50:05

1.1k

Views

Let X and Y be topological spaces and f: X $\to$ Y a continuous function. The graph of f is the set $\Gamma_f $ = {(x, f (x)): $x \in X$}.

Published on 26 Mar 2026 - 9:50

score 59 · Answer 14 · 2020-11-12 14:40:50

59

Views

Invariant $C^\ast$ subalgebras of $C(\mathbb R)$

Published on 12 Nov 2020 - 14:40

score 18 · Answer 15 · 2026-03-18 08:26:57

18

Views

If $x_n$ is Cauchy then $x_n^{-1}$ may not be Cauchy where the metric is left invariant.

Published on 18 Mar 2026 - 8:26

List Question

Topology question on homeomorphism

Is the space of left cosets of a topological group completely regular?

The correspondence of topologies of different definitions of local fields?

Topological and algebraic groups

A "simple, detailed" reference for Topological groups, which is sufficient for number-theoretic reasons.

Show convolution on a compact group is continuous

Hausdorff topological group is topologically isomorphic to a subgroup closed of a Hausdorff topological group

$\{a_1,...,a_n,b\}$ is discrete if and only if $t_j \in \mathbb{Q}$

If $\lbrace y_{k}\rbrace_{k\in K}$ is a net such that $e^{ixy_{k}}\to 1$ pointwise, then $y_{k}\to 0$

Application of Peter-Weyl theorem: groups with no small-subgroups admit a faithful finite-dimensional representation

Pontryagin dual for non abelian $\widehat G := \operatorname{Hom}(G, T) $?

Let $ G, H $ be Hausdorff topological groups, $ f $ is a continuous homomorphism between these. Prove that $f$ is open.

Let X and Y be topological spaces and f: X $\to$ Y a continuous function. The graph of f is the set $\Gamma_f $ = {(x, f (x)): $x \in X$}.

Invariant $C^\ast$ subalgebras of $C(\mathbb R)$

If $x_n$ is Cauchy then $x_n^{-1}$ may not be Cauchy where the metric is left invariant.

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