nLab
locally equi-connected space

Context

Topology

topology (point-set topology)

see also algebraic topology, functional analysis and homotopy theory

Introduction

Basic concepts

Universal constructions

Extra stuff, structure, properties

Examples

Basic statements

Theorems

Basic homotopy theory

Theorems

Contents

Definition

A topological space XX is called locally equi-connected if the diagonal map XX×XX \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)