# Aspherical 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

## Definition

A topological space is termed **aspherical** if it possesses a universal covering space, and if its universal covering space is weakly contractible (equivalently the universal covering space is acyclic; for path-connected simply connected spaces, the two notions are equivalent).