Question

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

score 416 · Answer 1 · 2026-05-10 16:35:48

416

Views

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

Published on 10 May 2026 - 16:35

score 110 · Answer 2 · 2026-04-11 01:42:57

110

Views

Topological group with nonzero Euler characteristic

Published on 11 Apr 2026 - 1:42

score 4k · Answer 3 · 2026-04-16 07:32:06

4k

Views

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

Published on 16 Apr 2026 - 7:32

score 412 · Answer 4 · 2026-04-13 21:01:26

412

Views

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

Published on 13 Apr 2026 - 21:01

score 715 · Answer 5 · 2026-04-12 21:01:26

715

Views

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

Published on 12 Apr 2026 - 21:01

score 66 · Answer 6 · 2026-04-12 01:59:14

66

Views

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

Published on 12 Apr 2026 - 1:59

score 77 · Answer 7 · 2026-05-10 11:43:39

77

Views

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

Published on 10 May 2026 - 11:43

score 205 · Answer 8 · 2026-05-11 00:32:57

205

Views

Automorphism group of tree as a topological group?

Published on 11 May 2026 - 0:32

score 64 · Answer 9 · 2026-05-10 14:52:31

64

Views

Abelian group action on a projective space

Published on 10 May 2026 - 14:52

score 143 · Answer 10 · 2026-04-13 01:52:52

143

Views

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

Published on 13 Apr 2026 - 1:52

score 91 · Answer 11 · 2026-04-24 01:40:06

91

Views

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

Published on 24 Apr 2026 - 1:40

score 121 · Answer 12 · 2026-04-16 04:54:17

121

Views

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

Published on 16 Apr 2026 - 4:54

score 183 · Answer 13 · 2026-04-16 13:37:13

183

Views

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

Published on 16 Apr 2026 - 13:37

score 388 · Answer 14 · 2026-04-08 19:00:11

388

Views

Proof Check for General Topology of Topological Groups

Published on 08 Apr 2026 - 19:00

score 196 · Answer 15 · 2026-04-11 16:37:35

196

Views

Square integrable functions on Lie groups

Published on 11 Apr 2026 - 16:37

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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