closed set

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closed set

n
1. (Mathematics) a set that includes all the values obtained by application of a given operation to its members
2. (Mathematics) (in topological space) a set that contains all its own limit points
References in periodicals archive ?
Conversely, for each P'-invariant closed subset S = {o}, C, Y or X itself, we define a subset [D.
Since Ncl(V) is neutrosophic closed and G is neutrosophic compact, (every neutrosophic closed subset of a neutrosophic compact space is neutrosophic compact) it follows that Ncl (V) is neutrosophic compact.
In the first case we show that there exists a closed subset L [subset or equal to] K and a real-linear isometry [?
This is made possible by ensuring a follow-up of the process development of dilation, alliance, adherence, closed subset and acceptability [16, 12].
Let E be a metrizable topological vector space and Q a closed subset of E.
a) g(X) is a closed subset of X and G(X x X) [subset or equal to] f(X) or
A closed subset X of the complex plane is called a spectral set for an operator
Another way to phrase this is a subset S [subset] M is locally closed if and only if it is the intersection of an open subset and a closed subset of M.
At the beginning a time scale is defined to be an arbitrary closed subset of the real numbers , with the standard inherited topology.
A family F of closed sets in a space X is separating if S is closed subset in X and x [member of] S implies there are disjoint sets [F.
If S is a multiplicatively closed subset of R, then we may form the ring of quotients (or simply the quotient ring when there is no chance of confusion),
x[member of][OMEGA]*] B[x, r] [intersection] K* is a non- void (because contains u) weak* compact (as a weak* closed subset of K*), convex (intersection of convex sets), proper (because of (*)) subset of K* which is also S-invariant.