ArticleOriginal scientific text
Title
On a paper of Guthrie and Nymann on subsums of infinite series
Authors 1, 2
Affiliations
- Department of Mathematical Sciences, The University of Texas at El Paso, El Paso, TX 79968-0514, U.S.A.
- Department of Mathematics, Princeton University, Princeton, NJ 08544-1000, U.S.A.
Abstract
In 1988 the first author and J. A. Guthrie published a theorem which characterizes the topological structure of the set of subsums of an infinite series. In 1998, while attempting to generalize this result, the second author noticed the proof of the original theorem was not complete and perhaps not correct. The present paper presents a complete and correct proof of this theorem.
Bibliography
- J. A. Guthrie and J. E. Nymann, The topological structure of the set of subsums of an infinite series, Colloq. Math. 55 (1988), 323-327.
- J. E. Nymann and R. A. Sáenz, The topological structure of the set of
-sums of a sequence, Publ. Math. Debrecen 50 (1997), 305-316.