Metric Spaces and a Metrization Theorem
Part of the Undergraduate Texts in Mathematics book series (UTM)
A distance function p in a set X is a nonnegative real-valued function defined for each pair of points x, y ∊ X and satisfying:
ρ(x, y) = 0 if and only if x = y,
ρ(x, y) = ρ(y, x),
ρ(x, z) < ρ(x, y) + ρ(y, z) (triangle inequality).
KeywordsDistance Function Limit Point Triangle Inequality Dense Subset Number System
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© Springer-Verlag New York Inc. 1979