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单词 MooreSpace
释义

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.

References

  • 1 Steen, Lynn Arthur and Seebach, J. Arthur, Counterexamples in Topology, Dover Books, 1995.
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更新时间:2025/5/4 11:20:02