Open Access
2000/2001 Packing Measure in General Metric Space
G. A. Edgar
Real Anal. Exchange 26(2): 831-852 (2000/2001).


Packing measures are counterparts to Hausdorff measures, used in measuring fractal dimension of sets. C. Tricot defined them for subsets of finite-dimensional Euclidean space. We consider here the proper way to phrase the definitions for use in general metric spaces, and for Hausdorff functions other than the simple powers, in particular non-blanketed Hausdorff functions. The question of the Vitali property arises in this context. An example of a metric space due to R. O. Davies illustrates the concepts.


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G. A. Edgar. "Packing Measure in General Metric Space." Real Anal. Exchange 26 (2) 831 - 852, 2000/2001.


Published: 2000/2001
First available in Project Euclid: 27 June 2008

zbMATH: 1010.28007
MathSciNet: MR1844397

Primary: 28A80
Secondary: 26A39

Keywords: Davies space , fractal measure , Packing measure , Vitali property

Rights: Copyright © 2000 Michigan State University Press

Vol.26 • No. 2 • 2000/2001
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