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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A note on the density of $s$-dimensional sets


Author: James Foran
Journal: Proc. Amer. Math. Soc. 126 (1998), 863-865
MSC (1991): Primary 28A78
MathSciNet review: 1452803
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Abstract: Sets in Euclidean spaces which are measurable with respect to Hausdorff $s$-dimensional measure with $0<s<1$ are shown to have an at most countable set of points where the exact $s$-density exists and is finite and non-zero.


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Additional Information

James Foran
Affiliation: Department of Mathematics, University of Missouri-Kansas City, Kansas City, Missouri 64110
Email: jforan@cctr.umkc.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-98-04384-6
PII: S 0002-9939(98)04384-6
Received by editor(s): September 14, 1996
Communicated by: James West
Article copyright: © Copyright 1998 American Mathematical Society