## On a paper of Guthrie and Nymann on subsums of infinite series

### Volume 83 / 2000

Colloquium Mathematicum 83 (2000), 1-4
DOI: 10.4064/cm-83-1-1-4

#### 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.