# closed set

(redirected from Closed subset)
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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.

## 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 ?
2 Let W be a closed subset of a smooth manifold M which has been decomposed into a finite union of locally closed subsets
Assume that T is a nonempty closed subset of R and E is an equivalence relation on T.
A filter on X is said to be closed if it has a base consisting of closed subsets of X.
Let A be a closed subset of X and B [member of] vGO(X) [contains as member] A [subset or equal to] B.
C], it follow that A [intersection] X contains all closed subset of X.
Proof: Let F be a closed subset of S and let (x,y) [member of] [sup.
B](b) is a closed subset in C (see the proof of Proposition 3.
Time scale calculus unifies continuous and discrete calculus and is much more general as T can be any nonempty closed subset of the reals R.
A time scale T is a nonempty closed subset of the real numbers, so that it is a complete metric space with the metric d(t, s) = |t - s|.
here B and A are nonnegative numbers, 0, T are points in T, T (the time scale) is a nonempty closed subset of R.
Any I-sequentially closed subset of a I-sequentially compact subset of X is I-sequentially compact.
i) Let x [member of] X and F be disjoint closed subset of X not containing x, then f(x) and f(F) are disjoint closed subset of Y , since f is closed and injection.

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