| 释义 |
metrizable, a. Math.|mɛˈtraɪzəb(ə)l|
[f. as next + -able, tr. G. metrisierbar (P. Urysohn 1924, in Math. Ann. XCII. 275).]
Of a topological space: capable of being assigned a metric which makes it a metric space identical to the original space.
1927Bull. Amer. Math. Soc. XXXIII. 25 It is therefore of interest to formulate the conditions that a space be metrizable in terms of continuous functions. 1968E. T. Copson Metric Spaces ix. 142 General topology is a generalization of the theory of metric spaces since there are topological spaces which are not metrizable.
So metrizaˈbility, the property of being metrizable.
1927Bull. Amer. Math. Soc. XXXIII. 23 Axiom 1 is a sufficient condition for metrizability. 1964W. J. Pervin Found. Gen. Topology x. 158 In the case of separable metric spaces, Urysohn..found necessary and sufficient conditions for metrizability. |