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On the existence of subsets of finite positive packing measure

Published online by Cambridge University Press:  26 February 2010

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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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.

Type
Research Article
Copyright
Copyright © University College London 1995

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