nLab
countable cover

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

Idea

A countable cover is a cover by a countable set of patches.

Accordingly a countable open cover is an open cover with a countable set of patches.

A topological space for which every open cover has a countable subcover is called a Lindelöf space.

Last revised on May 19, 2017 at 05:48:08. See the history of this page for a list of all contributions to it.