closed set


Also found in: Dictionary, Wikipedia.

closed set

[¦klōzd ′set]
(mathematics)
A set of points which contains all its cluster points. Also known as topologically closed set.

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 ?
From the above definitions we have the following interrelations among the closed sets.
Therefore by Theorem 6, there exists a closed set F in Y such that B [subset] F and [f.
A space (X, [tau]) is said to be lightly r-Normal if for a pair of disjoint closed set A and a r-zero set B, there exists disjoint r-open sets G and H such that A [subset] G and B [subset] H.
r,s] of a intuitionistic fuzzy topological space (X, T) if for each intuitionistic fuzzy closed set A of (X, T) containing [x.
delta]]- [alpha]-locally closed set in X and A [subset or equal to] B}.
Then for each closed set F and each x [member of] X/F, there exist disjoint G-gs-open sets U and V such that x [member of] U and F [subset not equal to] V.
We were protected with a closed set, although the crew and others were watching and rooting, but I needed to forget anyone was there, and take the kiss seriously," she added.
Enigmatic director Nathanial Hornblower (auteur behind "Body Movin'" and the 1999 MTV VMA Best Hip Hop clip "Intergalactic") demanded heretofore unequaled levels of secrecy on the closed set, perpetuating rumors that the clip featured, shall we say, intensely intimate moments between certain principals.
xi) a mildly generalized closed set (briefly mildly g-closed) [19] if cl(int(A)) [subset or equal to] U whenever A [subset or equal to] U and U is g open,
Elements of closed set topology is set such that each set in [kappa] is [U.
The scene was reportedly shot in a closed set, where other actors were not allowed in.
Pfeiffer says the intimate scene was shot on a closed set, ``but the director and everyone who was there were very moved by it.