metrizabilityn.

Brit.

/mᵻˌtrʌɪzəˈbɪlᵻti/, U.S.

/məˌtraɪzəˈbɪlᵻdi/

Forms: 1900s– metrisability, 1900s– metrizability.

Origin: Formed within English, by derivation. Etymons: metrizable adj., -ity suffix.

Etymology: < metrizable adj. + -ity suffix: see -bility suffix.

Mathematics.

The property of being metrizable.

ΘΚΠ

the world > relative properties > number > geometry > geometric space > [noun] > topological > involving metrics

metrization1926

metrizability1927

1927 Bull. Amer. Math. Soc. 33 23 Axiom 1 is a sufficient condition for metrizability.

1964 W. J. Pervin Found. Gen. Topol. x. 158 In the case of separable metric spaces, Urysohn..found necessary and sufficient conditions for metrizability.

1991 Univ. Maryland Graduate School Catal. 1991–3 107/1 Covering properties and compactness, connectedness, metrizability, complete metric spaces, introduction to homotopy theory.

This entry has been updated (OED Third Edition, December 2001; most recently modified version published online March 2022).

单词	metrizability
释义	metrizabilityn. Brit. /mᵻˌtrʌɪzəˈbɪlᵻti/, U.S. /məˌtraɪzəˈbɪlᵻdi/ Forms: 1900s– metrisability, 1900s– metrizability. Origin: Formed within English, by derivation. Etymons: metrizable adj., -ity suffix. Etymology: < metrizable adj. + -ity suffix: see -bility suffix. Mathematics. The property of being metrizable. ΘΚΠ the world > relative properties > number > geometry > geometric space > [noun] > topological > involving metrics metrization1926 metrizability1927 1927 Bull. Amer. Math. Soc. 33 23 Axiom 1 is a sufficient condition for metrizability. 1964 W. J. Pervin Found. Gen. Topol. x. 158 In the case of separable metric spaces, Urysohn..found necessary and sufficient conditions for metrizability. 1991 Univ. Maryland Graduate School Catal. 1991–3 107/1 Covering properties and compactness, connectedness, metrizability, complete metric spaces, introduction to homotopy theory. This entry has been updated (OED Third Edition, December 2001; most recently modified version published online March 2022). < n.1927
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