nLab
regular Lindelöf spaces are paracompact

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

Statement

Proposition

Let XX be a topological space which is

  1. Lindelöf (every open cover has a countable subcover);

  2. regular.

Then XX is paracompact topological space.

Created on May 19, 2017 at 05:46:02. See the history of this page for a list of all contributions to it.