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.