Moore space
A regular developable topological space
with a nested development 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 |
|---|---|
| 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 |