separated sets


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separated sets

[′sep·ə‚rād·əd ′sets]
(mathematics)
Sets A and B in a topological space are separated if both the closure of A intersected with B and the closure of B intersected with A are disjoint.
References in periodicals archive ?
Since (Y [intersection] [G.sub.[alpha]]) and (Y[intersection] [H.sub.[alpha]]) are separated sets, if we write A = (Y [intersection] [G.sub.[alpha]]) and B = (Y [intersection] [H.sub.[alpha]]), then by (3) Y = A [union] B.