Todorčević, Stevo A dichotomy for P-ideals of countable sets. (English) Zbl 0968.03049 Fundam. Math. 166, No. 3, 251-267 (2000). Summary: A dichotomy concerning ideals of countable subsets of some set is introduced and proved compatible with the Continuum Hypothesis. The dichotomy has influence not only on the Suslin Hypothesis or the structure of Hausdorff gaps in the quotient algebra \({\mathcal P}({\mathbb N})/\text{fin}\) but also on some higher order statements like for example the existence of Jensen square sequences. Cited in 3 ReviewsCited in 32 Documents MSC: 03E05 Other combinatorial set theory 03E35 Consistency and independence results 03E65 Other set-theoretic hypotheses and axioms 03E50 Continuum hypothesis and Martin’s axiom Keywords:continuum hypothesis; ideals of countable sets PDFBibTeX XMLCite \textit{S. Todorčević}, Fundam. Math. 166, No. 3, 251--267 (2000; Zbl 0968.03049) Full Text: EuDML