nLab
locally Hausdorff 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

A topological space is locally Hausdorff if every point has a neighbourhood (or, without loss of generality, an open neighbourhood) which is a Hausdorff topological space when equipped with the subspace topology.

References

  • S. Niefield, A note on the locally Hausdorff property, Cahiers TGDC (1983) (numdam)

Last revised on April 17, 2017 at 13:37:27. See the history of this page for a list of all contributions to it.