# closed set

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## closed set

[¦klōzd ′set]
(mathematics)
A set of points which contains all its cluster points. Also known as topologically closed set.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

## closed set

(mathematics)
A set S is closed under an operator * if x*y is in S for all x, y in S.
References in periodicals archive ?
(i) Neutrosophic regular Closed set [7] (Neu-RCS in short) if [lambda]=Neu-Cl(Neu-Int([lambda])),
Complement of [[tau].sub.2]-[delta] open set is called [[tau].sub.2]-[delta] closed set;
Clearly cl((F, A)) is the smallest soft closed set over X which contains (F, A) and int((F, A)) is the largest soft open set over X which is contained in (F, A).
Clearly cl(A, E) is the smallest soft closed set over X which contains (A, E) and int(A, E) is the largest soft open set over X which is contained in (A, E).
Unseen photos (above and right) of The Beatles performing during a closed set filming for their movie 'A Hard Days Night''
Then cl ([f.sup.[right arrow]](A)) is closed set in ([S.sub.2], [S.sub.2]).
A function f: X [right arrow] Y is quasi sg-open if and only if for any subset B of Y and for any sg-closed set F of X containing [f.sup.-1](B), there exists a closed set G of Y containing B such that [f.sup.-1] (G) [subset] F.
A random closed set [XI] is a measurable mapping from a probability space to (F, B (F)).
The policeman was responding to an emergency call but somehow ended up driving through the closed set.
There was speculation Hollywood film bosses would build a full size German U-Boat inside the closed set.
A subset A of a topological space X is called [alpha] generalised star closed set (briefly, [alpha] g*closed set) if cl(A) [subset]U whenever A[subset]U and U is [alpha] open in X.A subset A of a topological space X is called [alpha] generalised star open set (briefly, [alpha] g*open set) if [A.sup.c] is [alpha] g*closed set.
A space X is pairwise almost regular [12] if for every ([[tau].sub.1], [[tau].sub.2])-regular closed set F and a point x [not member of] F, there exists a [[tau].sub.1]-open set V and a disjoint [[tau].sub.2]-open set U such that x [member of] U and V [subset] V.

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