On Upper Gauge Density
نویسندگان
چکیده
Let g be a diametric gauge over a metric space (X, p). It is proved, in this paper, that the upper gauge density D (A, x) = 0 for almost all points of the complement of A provided that A is in a certain family which contains all Borel sets of finite measure. Also, a relation between conditions for a diametric gauge and certain regularity conditions is given.
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