单词 | limit point |
释义 | > as lemmaslimit point limit point n. Mathematics a point forming a limit to a sequence, function, etc.; spec. a point of a set every neighbourhood of which contains at least one point (other than the limit point) belonging to the set. ΚΠ 1850 G. Salmon Treat. Conic Sections (ed. 2) Index 331/1 Angle... Subtended at limit points of system of circles. 1905 Trans. Amer. Math. Soc. 6 90 A geometrically closed set of points is a set that includes all its geometrical limit points. 1959 E. M. Patterson Topol. (ed. 2) ii. 29 The points x = 0 and x = 1 are limit points of the set 0 < x < 1 on the Euclidean line; and in this case every point of X itself is also a limit point. 2004 M. Potter Set Theory & its Philos. vii. 117 It is a closed set in which every point is a limit point. < as lemmas |
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