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Symposium on General Topology and Abstract Analysis
March 23-25, 2001
Youngstown State University
Youngstown, OH, USA

Organizers
Zbigniew Piotrowski, Jamal Tartir

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Cantor sets, thickness, and porosities
by
Robert W. Vallin
Slippery Rock University of PA

Porosity and (Denjoy's) porosity index are indicators of `smallness' in sets in the real line. Thickness shows a type of `largeness' for a Cantor set. In this talk, we give conditions for thickness and the porosities to be related. We then take these results and apply them to a question involving sums of Cantor sets.

Date received: February 20, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cagj-03.