Geodesic
Thickness measures for Cantor sets
Astels, S.1
1Department of Pure Mathematics, The University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
Electronic research announcements of the American Mathematical Society, Tome 05 (1999), pp. 108-111
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For a fixed $k\ge 1$ let $C_1,\dots ,C_k$ be generalized Cantor sets. We examine various criteria under which $C_1+\dots + C_k$ contains an interval. When these criteria do not hold, we give a lower bound for the Hausdorff dimension of $C_1+\dots +C_k$. Our work will involve the development of two different types of thickness measures.
DOI : 10.1090/S1079-6762-99-00068-2

Astels, S.  1

1 Department of Pure Mathematics, The University of Waterloo, Waterloo, Ontario, Canada N2L 3G1 
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Astels, S. Thickness measures for Cantor sets. Electronic research announcements of the American Mathematical Society, Tome 05 (1999), pp. 108-111. doi: 10.1090/S1079-6762-99-00068-2

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