A note on the density of $s$-dimensional sets
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- by James Foran PDF
- Proc. Amer. Math. Soc. 126 (1998), 863-865 Request permission
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.References
- K. J. Falconer, The geometry of fractal sets, Cambridge Tracts in Mathematics, vol. 85, Cambridge University Press, Cambridge, 1986. MR 867284
- Tadasi Nakayama, On Frobeniusean algebras. I, Ann. of Math. (2) 40 (1939), 611–633. MR 16, DOI 10.2307/1968946
Additional Information
- James Foran
- Affiliation: Department of Mathematics, University of Missouri-Kansas City, Kansas City, Missouri 64110
- Email: jforan@cctr.umkc.edu
- Received by editor(s): September 14, 1996
- Communicated by: James West
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 863-865
- MSC (1991): Primary 28A78
- DOI: https://doi.org/10.1090/S0002-9939-98-04384-6
- MathSciNet review: 1452803