topologizev.
/təˈpɒlədʒʌɪz/ Mathematics.
transitive. To make into a topological space.
ΘΚΠ
the world > relative properties > number > geometry > geometric space > divide geometric space [verb (transitive)] > make into a topological space
topologize1946
1946 E. Lehmer tr. L. S. Pontryagin Topol. Groups iii. 56 If the group G can be topologized in such a way that [etc.].
1964 A. P. Robertson & W. Robertson Topol. Vector Spaces i. 8 The real numbers and the complex numbers can both be topologised by taking d(x, y) = |x − y|.
1979 Proc. London Math. Soc. 38 231 For any closed subspace S of ERn; we topologize the space of continuous maps of S into ERn with the compact open topology.
Derivatives
toˌpologiˈzation n. the process of topologizing.
ΘΚΠ
the world > relative properties > number > geometry > [noun] > branches of > topology > making into topological space
topologization1946
1946 E. Lehmer tr. L. S. Pontryagin Topol. 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.
1963 D. 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.
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toˈpologized adj.
This entry has not yet been fully updated (first published 1986; most recently modified version published online September 2018).
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v.1946