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On the existence of subsets of finite positive packing measure

Part of: Classical measure theory

Published online by Cambridge University Press:  26 February 2010

H. Joyce  and
D. Preiss
H. Joyce
Affiliation:
Department of Mathematics, University College London, London, WC1E 6BT.
D. Preiss
Affiliation:
Department of Mathematics, University College London, London WC1E 6BT.
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Extract

Packing measures have been introduced to complement the theory of Hausdorff measures in [13,14]. (For a new treatment see also [10, Chapter 5]. While Hausdorff measures are intimately connected to upper density estimates (see, e.g., [5,2.10.18]), the importance of packing measures stems from their connection to lower density estimates.

MSC classification

Secondary: 28A75: Length, area, volume, other geometric measure theory
Type
Research Article
Information
Mathematika , Volume 42 , Issue 1 , June 1995 , pp. 15 - 24
Copyright
Copyright © University College London 1995

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