# Difference between revisions of "Simple space"

From Topospaces

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===Weaker properties=== | ===Weaker properties=== | ||

+ | * [[Space with Abelian fundamental group]] | ||

* [[Path-connected space]] | * [[Path-connected space]] |

## Revision as of 18:15, 2 December 2007

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