| 释义 |
topologize, v. Math.|təˈpɒlədʒaɪz|
[f. topological a. + -ize.]
trans. To make into a topological space. So toˈpologized ppl. a.; toˌpologiˈzation, the process of topologizing.
1946E. Lehmer tr. Pontryagin's Topological Groups iii. 56 The abstract group G admits one and only one topologization under which the system σ* is a complete system of neighborhoods of the identity. Ibid., If the group G can be topologized in such a way that [etc.]. 1963D. Bushaw Elem. Gen. Topol. ii. 29 It is no great step to convert each of these methods of topologization into an alternative definition of the concept of a topological space. 1964A. P. & W. Robertson Topological Vector Spaces i. 8 The real numbers and the complex numbers can both be topologised by taking d(x, y) = {vb}x - y{vb}. 1979Proc. London Math. Soc. XXXVIII. 231 For any closed subspace S of ERn; we topologize the space of continuous maps of S into ERn with the compact open topology. |