Real Analysis Exchange
- Real Anal. Exchange
- Volume 26, Number 2 (2000), 831-852.
Packing Measure in General Metric Space
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.
Real Anal. Exchange, Volume 26, Number 2 (2000), 831-852.
First available in Project Euclid: 27 June 2008
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 28A80: Fractals [See also 37Fxx]
Secondary: 26A39: Denjoy and Perron integrals, other special integrals
Edgar, G. A. Packing Measure in General Metric Space. Real Anal. Exchange 26 (2000), no. 2, 831--852. https://projecteuclid.org/euclid.rae/1214571371