nLab
compact topological group

Contents

Context

Group Theory

Topology

topology (point-set topology, point-free topology)

see also differential topology, algebraic topology, functional analysis and topological homotopy theory

Introduction

Basic concepts

Universal constructions

Extra stuff, structure, properties

Examples

Basic statements

Theorems

Analysis Theorems

topological homotopy theory

Contents

Definition

A topological group is called compact if its underlying topological space is a compact topological space.

References

On space of subgroups of compact topological groups:

  • S. Fisher, P. Gartside, On the space of subgroups of a compact group I, Topology and its Applications Volume 156, Issue 5, 15 February 2009, Pages 862-871 (doi:10.1016/j.topol.2008.11.005)

Last revised on April 25, 2021 at 12:18:44. See the history of this page for a list of all contributions to it.