Vojtáš, Peter On \(\omega^*\) and absolutely divergent series. (English) Zbl 0840.03033 Topol. Proc. 19, 335-348 (1994). Summary: We summarize some of our former results on series, ultrafilters and cardinal characteristics in a new unified manner by Galois-Tukey connections. Using some new observations about the connection between separative factorization of the comparison ordering of divergent series and \(\omega^*\) we get a new insight into these older results. This gives a new type of characterization of points of \(\omega^*\) and a (possibly) new sort of duality. Cited in 1 ReviewCited in 5 Documents MSC: 03E05 Other combinatorial set theory 54D40 Remainders in general topology 54A25 Cardinality properties (cardinal functions and inequalities, discrete subsets) Keywords:series; ultrafilters; cardinal characteristics; Galois-Tukey connections; comparison ordering; duality PDFBibTeX XMLCite \textit{P. Vojtáš}, Topol. Proc. 19, 335--348 (1994; Zbl 0840.03033)