| 单词 | adherent point |
| 释义 | > as lemmasadherent point 5. Mathematics. Of a point: being such that every neighbourhood of it meets a given set. Chiefly in adherent point. Cf. point of closure at closure n. Additions. ΚΠ 1942 Math. Rev. 3 137/1 A necessary and sufficient condition..is that every filter which has open sets of E as a base and which has at most one adherent point be convergent... Every filter having a base of open sets and possessing a single adherent point converges to that point. 1978 Jrnl. Karnatak Univ.: Sci. 23 38 A point x is said to be a δ-adherent point of a set A in a space X if the interior of every closed neighbourhood of x intersects A. 1989 W. Gellert et al. VNR Conc. Encycl. Math. (ed. 2) xxxiv. 684 The set of points adherent to X. 2005 N. S. Dairbekov et al. tr. A. D. Alexandrov Convex Polyhedra ii. 146 An open set is characterized by the requirement that none of its points is an adherent point of the complement. < as lemmas |
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