Question

Given an open subset of a Riemannian manifold, is the group of isometries that extend to a global isometry closed?

score 412 · Answer 1 · 2018-06-30 21:11:59

412

Views

Given an open subset of a Riemannian manifold, is the group of isometries that extend to a global isometry closed?

Published on 30 Jun 2018 - 21:11

score 107 · Answer 2 · 2018-07-01 18:57:18

107

Views

Topological group with nonzero Euler characteristic

Published on 01 Jul 2018 - 18:57

score 4k · Answer 3 · 2018-07-03 11:10:56

4k

Views

Prove that 0 is the only accumulation point for set $\{1/n: n \in\mathbb{N}\}$ in the usual topology

Published on 03 Jul 2018 - 11:10

score 409 · Answer 4 · 2018-07-06 16:40:15

409

Views

Argument that closure of identity in topological group is normal subgroup.

Published on 06 Jul 2018 - 16:40

score 712 · Answer 5 · 2018-07-06 16:58:17

712

Views

Argument that if $H$ is normal subgroup of $G$, then $G/H$ is topological group.

Published on 06 Jul 2018 - 16:58

score 63 · Answer 6 · 2018-07-06 18:40:21

63

Views

Why in topological groups that: $E$ is Borel iff $E^{-1}$ is Borel.

Published on 06 Jul 2018 - 18:40

score 72 · Answer 7 · 2026-03-23 15:38:34

72

Views

Definition of the Hilbert space $L^2(G/Z,\nu)$

Published on 23 Mar 2026 - 15:38

score 201 · Answer 8 · 2018-07-10 07:06:00

201

Views

Automorphism group of tree as a topological group?

Published on 10 Jul 2018 - 7:06

score 59 · Answer 9 · 2018-07-12 22:35:50

59

Views

Abelian group action on a projective space

Published on 12 Jul 2018 - 22:35

score 139 · Answer 10 · 2018-07-15 09:51:17

139

Views

Subgroups of $\Bbb R^{\times}$

Published on 15 Jul 2018 - 9:51

score 87 · Answer 11 · 2026-03-17 15:20:30

87

Views

Characterizing fullness of a von Neumann algebra by the topology of its bimodules

Published on 17 Mar 2026 - 15:20

score 118 · Answer 12 · 2018-07-17 13:43:52

118

Views

What is the relation between syndetic subgroup and finitely index subgroup?

Published on 17 Jul 2018 - 13:43

score 180 · Answer 13 · 2018-07-17 14:45:51

180

Views

Why the projective space $ \mathbb{P}^{1} $ is homeomorphic to $ S^{3}/S^{1} $?

Published on 17 Jul 2018 - 14:45

score 385 · Answer 14 · 2018-07-18 06:27:41

385

Views

Proof Check for General Topology of Topological Groups

Published on 18 Jul 2018 - 6:27

score 194 · Answer 15 · 2018-07-21 09:08:00

194

Views

Square integrable functions on Lie groups

Published on 21 Jul 2018 - 9:08

List Question

Given an open subset of a Riemannian manifold, is the group of isometries that extend to a global isometry closed?

Topological group with nonzero Euler characteristic

Prove that 0 is the only accumulation point for set $\{1/n: n \in\mathbb{N}\}$ in the usual topology

Argument that closure of identity in topological group is normal subgroup.

Argument that if $H$ is normal subgroup of $G$, then $G/H$ is topological group.

Why in topological groups that: $E$ is Borel iff $E^{-1}$ is Borel.

Definition of the Hilbert space $L^2(G/Z,\nu)$

Automorphism group of tree as a topological group?

Abelian group action on a projective space

Subgroups of $\Bbb R^{\times}$

Characterizing fullness of a von Neumann algebra by the topology of its bimodules

What is the relation between syndetic subgroup and finitely index subgroup?

Why the projective space $ \mathbb{P}^{1} $ is homeomorphic to $ S^{3}/S^{1} $?

Proof Check for General Topology of Topological Groups

Square integrable functions on Lie groups

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