Moore space

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Moore space

[′mür ‚spās]

(mathematics)

A topological space that has a sequence of coverings by open sets, such that each member of the sequence is a subcollection of the previous one, and such that, for any two points, x and y, of an open set S in the space, there is an open covering in the sequence such that the closure of any member of this covering that includes x is a subset of S and does not include y.

References in periodicals archive ?

In general, a Moore space may not be monotonically D.

(2) The Moore space (M(X), v) is monotonically D: since the subspace X of all non-isolated points of (M(X), v) is discrete, by Theorem 1.7 of [14] (M(X), v) is monotonically D.

McIntyre, A Moore space with calibre ([[omega].sub.1], [omega]) but without calibre [[omega].sub.1], Top.

A note on monotone D-spaces

Pilots still in the works at other nets include Fox's Ron Moore space drama "Virtuality" and comedy "Boldly Going Nowhere," from the "It's Always Sunny in Philadelphia" guys.

Nets keep the pilot lights on: no summer snooze for midseason hopefuls

Specific topics include the orthogonal subcategory problems in homotopy theory, rational extended Mackey functions for the circle groups, and the double suspension and the mod-p Moore space.