# closed set

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Related to Closed sets: Bounded set

## 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 ?
Ganster and Reilly used locally closed sets  to define LC-continuity and LC-irresoluteness.
ii) The union of two IF- regular closed sets is a IF- regular closed
The generalization of open and closed set as like [alpha]-open and [alpha]-closed sets was introduced by Njastad (1965) which is nearly to open and closed set respectively.
mu]](S), is the intersection of generalized closed sets including S and the interior of S, denoted by [i.
As a generalization of closed sets, the notion of sg-closed sets were introduced and studied by Bhattacharyya and Lahiri .
The problem of the evaluation of the mean densities of lower dimensional random closed sets, and in particular of the mean surface density, is of interest in several real applications.
b) regularly closed sets of (X, [tau]) are the same as regularly closed sets of (X, [tau].
builds the foundation for studying random set data, carefully covering generalities in probability, random sets in statistics, finite random sets, random sets and related uncertainly measures, random closed sets, the Choquet integral, Choquet weal convergence, and aspects of statistical inference with coarse data.
Shot last spring in great secrecy, very little "official" information has filtered out from the closed sets of Olivier Asselin's eagerly awaited second feature, Le siege de l'aime, and Robert Lepage's latest, Le polygraphe.
The space (X, T) is normal if for disjoint closed sets A and B, there exist disjoint open sets U and V such that A [subset] U and B [subset] V.

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