= Metric Space =

A '''metric space''' is a [[Analysis/Sets|set]] for which a distance function can be defined.

Not to be confused with a [[Analysis/MeasureSpace|measure space]].

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== Description ==

A metric space is a [[Analysis/Sets|set]] with a distance (or metric) function as ''d: M × M -> R''.

For any ''p'' and ''q'' in ''M'', the distance must feature these properties:
 * ''d(p,q) ≥ 0'', and ''d(p,q) = 0'' only if ''p = q''
 * Symmetry: ''d(p,q) = d(q,p)''



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CategoryRicottone