adherent point


Also found in: Wikipedia.

adherent point

[ad¦hir·ənt ′pȯint]
(mathematics)
For a set in a topological space, a point that is either a member of the set or an accumulation point of the set.
References in periodicals archive ?
We know that [mathematical expression not reproducible] is a closed set if and only if, it coincides with its closure which means that every adherent point of E is in E.
Bearing in mind that each column k of the topogenous matrix represents the minimal open set [U.sub.k], we shall find one by one the adherent points E, not in E, finding the smallest closed ret C which contains it, using the characterization given in (4), by the following procedure: we take [mathematical expression not reproducible]; for each [x.sub.k] such that k [not member of] {[i.sub.1], ..., [i.sub.r]}, we consider the k-th column of the topogenous matrix and check the elements in rows [i.sub.1], ..., [i.sub.r] in such column; if they are all zero, we take C = [C.sup.(1)] otherwise, there would exist [j.sub.1] such that [mathematical expression not reproducible] is an adherent point of E hence we take [mathematical expression not reproducible].
Keywords: Intuitionistic fuzzy metric space, adherent point, accumulation point, isolated point, Heine theorem.