What is another word for metric space?
Pronunciation: [mˈɛtɹɪk spˈe͡ɪs] (IPA) 
Metric space is a fundamental concept in mathematics. It refers to a set paired with a distance function that satisfies certain conditions. There are many synonyms for metric space depending on the context in which it is used. Some of the most common synonyms include topological space, normed space, metric topology, and distance space. Topological space refers to a set that is endowed with a topology, a collection of open sets that satisfy certain properties. Normed space is a vector space equipped with a norm, a function that assigns a length to each vector in the space. Metric topology is a space where a distance function is defined, and distance space is a set equipped with a metric.
