**Moore Space (topology)**

In mathematics, more specifically point-set topology, a **Moore space** is a developable regular Hausdorff space. Equivalently, a topological space *X* is a Moore space if the following conditions hold:

- Any two distinct points can be separated by neighbourhoods, and any closed set and any point in its complement can be separated by neighbourhoods. (
*X*is a regular Hausdorff space.) - There is a countable collection of open covers of
*X*, such that for any closed set*C*and any point*p*in its complement there exists a cover in the collection such that every neighbourhood of*p*in the cover is disjoint from*C*. (*X*is a developable space.)

Moore spaces are generally interesting in mathematics because they may be applied to prove interesting metrization theorems. The concept of a Moore space was formulated by R. L. Moore in the earlier part of the 20th century.

Read more about Moore Space (topology): Examples and Properties, Normal Moore Space Conjecture

### Other articles related to "moore":

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