Proceedings of the American Mathematical Society

Author(s): S. Astels
Journal: Proc. Amer. Math. Soc. 130 (2002), 637-642.
MSC (2000): Primary 11J70, 11Y65; Secondary 37C70
Posted: June 20, 2001
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In a paper of James Hlavka it is stated that $F(3)+F(2)+F(2)\neq{\mathbb R}$ . In this manuscript we show that this is false by establishing that $F(3)\pm F(2)\pm F(2)={\mathbb R}$ . We also describe the corresponding products and quotients.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 11J70, 11Y65, 37C70

S. Astels
Affiliation: Department of Mathematics, University of Georgia, Athens, Georgia 30602
Email: sastels@math.uga.edu

DOI: 10.1090/S0002-9939-01-06136-6
PII: S 0002-9939(01)06136-6
Keywords: Continued fractions, Cantor sets, sums of sets
Received by editor(s): August 28, 2000
Posted: June 20, 2001
Additional Notes: The author's research was supported in part by the Natural Sciences and Engineering Research Council of Canada.
Communicated by: David E. Rohrlich
Copyright of article: Copyright 2001, American Mathematical Society

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