Also spelled metricizable
adj
Meanings
-
1
adj
topology: having a metric that induces the space's given topology
Urysohn's theorem gives conditions under which a topological space is metrizable.
Thesaurus
Synonyms
1
adj
· topology: having a metric...
metricizable
Opposites
nonmetrizable
Word family
Derived forms
non-metrizablenonmetrizablequasi-pseudo-metrizable
Etymology
Formed from metrize + -able. Metrize is built from metric + -ize and means to equip a topological space with a compatible metric. Metricizable is an older or occasional expanded spelling; metrizable is the standard technical form.