Question

Subsets of Topological Hausdorff Groups

score 76 · Answer 1 · 2017-11-02 16:37:21

76

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Subsets of Topological Hausdorff Groups

Published on 02 Nov 2017 - 16:37

score 49 · Answer 2 · 2017-11-03 23:20:58

49

Views

If $G_1,\cdots,G_n,\cdots$ are metrizable topological groups, then $G= \prod_{n\in \mathbb N} G_n$ is also a topological group.

Published on 03 Nov 2017 - 23:20

score 48 · Answer 3 · 2017-11-06 23:31:19

48

Views

Showing that a subgroup $Gz_0$ of $S^1$ is dense and that the quotient $S^1/G$ is a topological group.

Published on 06 Nov 2017 - 23:31

score 346 · Answer 4 · 2017-11-07 00:22:53

346

Views

Prove that every discrete subgroup of a topological group equipped with a metric is closed

Published on 07 Nov 2017 - 0:22

score 88 · Answer 5 · 2017-11-08 08:35:23

88

Views

Large finitely generated subgroups of locally compact groups

Published on 08 Nov 2017 - 8:35

score 128 · Answer 6 · 2026-03-28 20:57:20

128

Views

Norm Completion of Local Field

Published on 28 Mar 2026 - 20:57

score 155 · Answer 7 · 2017-11-09 09:46:26

155

Views

Topological group and regularity of quotient space

Published on 09 Nov 2017 - 9:46

score 221 · Answer 8 · 2026-03-29 09:11:53

221

Views

What is the topology of the "character group"?

Published on 29 Mar 2026 - 9:11

score 56 · Answer 9 · 2017-11-10 01:43:39

56

Views

If $X$ is a topological group

Published on 10 Nov 2017 - 1:43

score 357 · Answer 10 · 2017-11-12 02:15:21

357

Views

Totally disconnected space and discrete topology

Published on 12 Nov 2017 - 2:15

score 408 · Answer 11 · 2017-11-12 08:53:04

408

Views

Prob. 1 in Supplementary Exercises, Chap. 2, in Munkres' TOPOLOGY, 2nd ed: A group that is also a $T_1$ topological space is a topological group ...

Published on 12 Nov 2017 - 8:53

score 88 · Answer 12 · 2017-11-13 08:16:44

88

Views

$C(X)$ and $C^{\ast}(X)$ for various subspace of $\mathbb{R}$

Published on 13 Nov 2017 - 8:16

score 62 · Answer 13 · 2017-11-13 16:05:32

62

Views

Multiplication and Inversion of Non-Singular Square Matrices: How are these functions continuous?

Published on 13 Nov 2017 - 16:05

score 34 · Answer 14 · 2017-11-13 18:29:38

34

Views

divisors of function

Published on 13 Nov 2017 - 18:29

score 403 · Answer 15 · 2017-11-13 20:18:24

403

Views

Prob. 3 in Supplementary Exercises, Chap. 2, in Munkres' TOPOLOGY, 2nd ed: A subspace of a topological group that is also a subgroup ...

Published on 13 Nov 2017 - 20:18

List Question

Subsets of Topological Hausdorff Groups

If $G_1,\cdots,G_n,\cdots$ are metrizable topological groups, then $G= \prod_{n\in \mathbb N} G_n$ is also a topological group.

Showing that a subgroup $Gz_0$ of $S^1$ is dense and that the quotient $S^1/G$ is a topological group.

Prove that every discrete subgroup of a topological group equipped with a metric is closed

Large finitely generated subgroups of locally compact groups

Norm Completion of Local Field

Topological group and regularity of quotient space

What is the topology of the "character group"?

If $X$ is a topological group

Totally disconnected space and discrete topology

Prob. 1 in Supplementary Exercises, Chap. 2, in Munkres' TOPOLOGY, 2nd ed: A group that is also a $T_1$ topological space is a topological group ...

$C(X)$ and $C^{\ast}(X)$ for various subspace of $\mathbb{R}$

Multiplication and Inversion of Non-Singular Square Matrices: How are these functions continuous?

divisors of function

Prob. 3 in Supplementary Exercises, Chap. 2, in Munkres' TOPOLOGY, 2nd ed: A subspace of a topological group that is also a subgroup ...

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