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.
@article{bwmeta1.element.bwnjournal-article-cmv83i1p1bwm,
author = {J. Nymann and R. S\'aenz},
title = {On a paper of Guthrie and Nymann on subsums of infinite series},
journal = {Colloquium Mathematicae},
volume = {84/85},
year = {2000},
pages = {1-4},
zbl = {0989.11007},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv83i1p1bwm}
}
Nymann, J.; Sáenz, R. On a paper of Guthrie and Nymann on subsums of infinite series. Colloquium Mathematicae, Tome 84/85 (2000) pp. 1-4. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv83i1p1bwm/
[000] [1] 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. | Zbl 0719.40004
[001] [2] 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. | Zbl 0880.11013