N-fold sums of Cantor sets

Hare, Kathryn and O'Neil, Toby (2000). N-fold sums of Cantor sets. Mathematika, 47(1-2) pp. 243–250.

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Abstract

We generalize the Newhouse gap lemma by finding a geometric
condition which ensures that $N$ -fold sums of compact sets, which might even have thickness zero, are intervals. We also obtain a new proof of a lower bound on the thickness of the sum of two Cantor sets.

Item Type:	Article
ISSN:	0025-5793
Extra Information:	Some of the symbols may not have transferred correctly into this bibliographic record.
Keywords:	Cantor sets; sums; thickness; intervals
Academic Unit/School:	Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID:	2140
Depositing User:	Toby O'Neil
Date Deposited:	29 Aug 2006
Last Modified:	04 Oct 2016 09:46
URI:	http://oro.open.ac.uk/id/eprint/2140
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