The lifting problem with the full ideal

S. Shelah*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We show that there are a cardinal μ, a σ-ideal I ⊆ P(μ) and a σ-subalgebra B of subsets of μ extending I such that B/I satisfies the c.c.c. but the quotient algebra B/I has no lifting.

Original languageEnglish
Pages (from-to)1-17
Number of pages17
JournalJournal of Applied Analysis
Volume4
Issue number1
DOIs
StatePublished - Jun 1998

Keywords

  • Boolean algebras
  • Lifting
  • Measure algebras

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