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2001/2002 Newhouse Thickness and Porosity of Cantor Sets
Robert W. Vallin
Real Anal. Exchange 27(1): 349-358 (2001/2002).


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.


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Robert W. Vallin. "Newhouse Thickness and Porosity of Cantor Sets." Real Anal. Exchange 27 (1) 349 - 358, 2001/2002.


Published: 2001/2002
First available in Project Euclid: 6 June 2008

zbMATH: 1016.28002
MathSciNet: MR1887866

Primary: 28A05

Keywords: Cantor set , porosity , sum of Cantor sets , thickness

Rights: Copyright © 2001 Michigan State University Press

Vol.27 • No. 1 • 2001/2002
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