# Moore space

A regular developable topological space $X$ with a nested development $\{F_{i}\}$ 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 theory.

For example, Jones’ Theorem states that if $2^{\aleph_{0}}<2^{\aleph_{1}}$, then every separable normal Moore space is metrizable.

## References

• 1 Steen, Lynn Arthur and Seebach, J. Arthur, Counterexamples in Topology, Dover Books, 1995.
Title Moore space MooreSpace 2013-03-22 14:49:51 2013-03-22 14:49:51 mathcam (2727) mathcam (2727) 5 mathcam (2727) Definition msc 54E05 msc 54E30 Jones’ theorem