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Definition. A metric space is a set X together with a function d (called a metric or distance function) which assigns a real number d (x, y) to every pair x, y X satisfying the properties (or axioms): 1  d (x, y) 0 and d (x, y) = 0 x = y, 2  d (x, y) = d (y, x), 3  d (x, y) + d (y, z) d (x, z).
In this regulation a restricted space refers, in part, to a space from which the egress of a worker is restricted, limited, or impeded. A ârestricted spaceâ may also be a confined space, thus, an evaluation of the space may determine that the area is either a confined space, a restricted space, or both.