Newhouse Thickness and Porosity of Cantor Sets

Robert W. Vallin

doi:rae/1212763975

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Home > Journals > Real Anal. Exchange > Volume 27 > Issue 1 > Article

2001/2002 Newhouse Thickness and Porosity of Cantor Sets

Robert W. Vallin

Real Anal. Exchange 27(1): 349-358 (2001/2002).

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Abstract

In this paper we compare and contrast two indicators of size in the real line: porosity (porosity index) and thickness. We use a relationship between thickness and the porosities to find a condition on when the sum of two Cantor sets is an interval. Finally, some questions are posed.