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.

单词	MooreSpace
释义	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.
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