nLab
locally equi-connected space

Context

Topology

topology (point-set topology, point-free topology)

see also differential topology, algebraic topology, functional analysis and topological homotopy theory

Introduction

Basic concepts

Universal constructions

Extra stuff, structure, properties

Examples

Basic statements

Theorems

Analysis Theorems

topological homotopy theory

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)