nLab weakly 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 weakly Lindelöf space if every open cover has a countable subcollection the union of which is dense.

Axioms: axiom of choice (AC), countable choice (CC).

Properties

Implications

References

Last revised on April 14, 2025 at 20:08:09. See the history of this page for a list of all contributions to it.