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,xandy, of an open setSin the space, there is an open covering in the sequence such that the closure of any member of this covering that includesxis a subset ofSand does not includey.

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