nLab
Urysohn topological 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

An topological space is called an Urysohn space if it satisfies the separation axiom T 212T_{2\tfrac{1}{2}} which demands that for very pair of distinct points in the space they have closed neighbourhoods which are disjoint.

References

Created on April 17, 2017 12:57:58 by Urs Schreiber (92.218.150.85)