The covering numbers of Mycielski ideals are all equal

Saharon Shelah*, Juris Steprans

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

The Mycielski ideal Mk is defined to consist of all sets A ⊆ k such that {f up harpoon right sign X : f ∈ A} ≠ Xk for all X ∈ [ℕ]א0. It will be shown that the covering numbers for these ideals are all equal. However, the covering numbers of the closely associated Rosłanowski ideals will be shown to be consistently different.

Original languageEnglish
Pages (from-to)707-718
Number of pages12
JournalJournal of Symbolic Logic
Volume66
Issue number2
DOIs
StatePublished - Jun 2001

Fingerprint

Dive into the research topics of 'The covering numbers of Mycielski ideals are all equal'. Together they form a unique fingerprint.

Cite this