nLab metacompact space

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

Definition

A topological space is metacompact if every countable open cover has a point finite open refinement which covers XX.

Examples

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

Properties

Implications

References

Last revised on April 24, 2019 at 16:28:09. See the history of this page for a list of all contributions to it.