A Note on Metric Density of Sets of Real Numbers
نویسندگان
چکیده
Casper Goffman [l ] has shown that the set of points at which the metric density of a set of real numbers exists but is not zero or one is a set of the first category. As a partial converse to this result he showed that for every Fc set of measure zero there exists a measurable set whose density exists at every point of the F, and has the value 1/2. In this note we extend the last named theorem of Goffman to the following:
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تاریخ انتشار 2010