# Simple 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

## Contents

## Definition

A topological space is termed **simple** if it satisfies the following three conditions:

- It is path-connected
- The fundamental group is Abelian
- The fundamental group acts trivially on all the higher homotopy groups