A single valued function D(x, y) is a metric for a topological space provided that for points x, y, z of the space: 1. the equality holding if and only if x = y, 2. (symmetry), 3. (triangle inequality), 4. x belongs to the closure of the set M if and only if P(x, m) (m element of M) is not bounded from 0 (preserves limit points).
CITATION STYLE
Bing, R. H. (1951). Metrization of Topological Spaces. Canadian Journal of Mathematics, 3, 175–186. https://doi.org/10.4153/cjm-1951-022-3
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