# nLab locally equi-connected space

### Context

#### Topology

topology

algebraic topology

# Contents

## Definition

A topological space $X$ is called locally equi-connected if the diagonal map $X \to X \times X$ is a Hurewicz cofibration.

## Properties

Every CW-complex is locally equi-connected.

Revised on February 21, 2011 11:10:39 by Urs Schreiber (89.204.137.71)