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 $$, 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 |
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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 |