Moore space

A regularPlanetmathPlanetmathPlanetmathPlanetmath developable topological spaceMathworldPlanetmath X with a nested development {Fi} is called a Moore space, named after topologist R. L. Moore.

Moore spaces form a fertile bridge between point-set topology, metrizability theory, and Zermelo-Fraenkel set theoryMathworldPlanetmath.

For example, Jones’ Theorem states that if 20<21, then every separablePlanetmathPlanetmath normal Moore space is metrizable.


  • 1 Steen, Lynn Arthur and Seebach, J. Arthur, Counterexamples in Topology, Dover Books, 1995.
Title Moore space
Canonical name MooreSpace
Date of creation 2013-03-22 14:49:51
Last modified on 2013-03-22 14:49:51
Owner mathcam (2727)
Last modified by mathcam (2727)
Numerical id 5
Author mathcam (2727)
Entry type Definition
Classification msc 54E05
Classification msc 54E30
Defines Jones’ theorem