Q-sets, sierpinski sets, and rapid filters

Haim Judah, Saharon Shelah

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

In this work we will prove the following:Theorem 1. cons(ZF) implies cons(Z.FC+ there exists a Q-set of reals + there exists a set of reals of cardinality N, which is not Lebesgue measurable). Theorem 2. cons(ZF) implies cons(ZFC + 20is arbitrarily larger than H2+ there exists a Sierpinski set of cardinality 20) +there are no rapid filters on a). These theorems give answers to questions of Fleissner[Fl] and Judah [Ju].

Original languageEnglish
Pages (from-to)821-832
Number of pages12
JournalProceedings of the American Mathematical Society
Volume111
Issue number3
DOIs
StatePublished - Mar 1991

Fingerprint

Dive into the research topics of 'Q-sets, sierpinski sets, and rapid filters'. Together they form a unique fingerprint.

Cite this