metrizable

A topological space $(X,\mathcal{T})$ is said to be metrizable if there is a metric $d\colon X\to[0,\infty)$ such that the topology induced by $d$ is $\mathcal{T}$.

 Title metrizable Canonical name Metrizable Date of creation 2013-03-22 12:12:44 Last modified on 2013-03-22 12:12:44 Owner mathcam (2727) Last modified by mathcam (2727) Numerical id 6 Author mathcam (2727) Entry type Definition Classification msc 54-00 Classification msc 55-00 Classification msc 22-00 Synonym metrization Synonym metrizable space Related topic Metric Related topic UrysohnMetrizationTheorem Related topic CategoryOfPolishGroups