nLab
Lindelöf topological 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

Named after Ernst Leonard Lindelöf.

Contents

Definition

A topological space is a Lindelöf space if every open cover has a countable sub-cover.

Examples

Properties

regular Lindelöf spaces are paracompact

Properties

Implications

References

Last revised on April 5, 2019 at 19:55:59. See the history of this page for a list of all contributions to it.