New posts in topological-groups

The quotient space $S^3/S^1$ is homeomorphic to $S^2$

general-topology topological-groups

A Radon measure on $G$ being left-invariant on a dense subgroup $H \subset G$ is a Haar measure on $G$.

measure-theory harmonic-analysis topological-groups locally-compact-groups

Haar measure - a problem from Folland

real-analysis measure-theory topological-groups

Is every topological group the topological fundamental group of an space?

general-topology algebraic-topology topological-groups

For which topological measure spaces do open sets always have positive measure?

general-topology measure-theory topological-groups haar-measure

closed subgroup on a topological group

general-topology group-theory topological-groups

Endomorphisms preserve Haar measure

topological-groups ergodic-theory

Disintegration of Haar measures

measure-theory harmonic-analysis topological-groups locally-compact-groups haar-measure

Profinite topology of a Group

abstract-algebra general-topology group-theory topological-groups profinite-groups

Existence of deep enough open subgroups in profinite groups

group-theory topological-groups infinite-groups profinite-groups

Topological rings which are manifolds

algebraic-topology differential-geometry topological-groups

support compact modulo subgroup

general-topology representation-theory topological-groups locally-compact-groups

Is a subgroup of a topological group a topological group?

general-topology group-theory topological-groups

Is the symmetry group of a compact subset of $\mathbb{R}^n$ closed?

lie-groups group-actions topological-groups symmetry isometry

G/H is Hausdorff implies H is closed (General topology, Volume 1 by N. Bourbaki)

general-topology topological-groups

Is $[0,1]$ a topological group?

general-topology topological-groups

Munkres topology Exercise $2.22$ Question $1$

general-topology topological-groups product-space

if $ H $ is a locally compact subgroup of a topological group $ G $, then $ H $ is closed in $ G $

general-topology topological-groups

Is the following proof valid? About the closure of a subgroup, of a topological group, being again a subgroup

topological-groups

Good book for studying $S_\infty$.

reference-request algebraic-topology lie-groups topological-groups