# Hurewicz space

From Topospaces

This article defines a property of topological spaces: a property that can be evaluated to true/false for any topological space|View a complete list of properties of topological spaces

This is a variation of compactness. View other variations of compactness

## Definition

A topological space is said to be a **Hurewicz space** if, given any sequence of open covers, we can choose a finite subcollection of each open cover, such that the union of these finite subcollections is an open cover.