nLab compact connected space

Contents

Context

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

By a compact connected space one will typically mean a topological space which is both compact and connected.

Beware that in constructive mathematics there is a definition of “compact connectedness” which is really just one version of “connectedness”: see at connected topological space the section Constructive definition.

References

See the references at topology.

Last revised on June 18, 2022 at 08:05:58. See the history of this page for a list of all contributions to it.