On nice equivalence relations on λ2

Saharon Shelah*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

Let E be an equivalence relation on the powerset of an uncountable set, which is reasonably definable. We assume that any two subsets with symmetric difference of size exactly 1 are not equivalent. We investigate whether for E there are many pairwise non equivalent sets.

Original languageEnglish
Pages (from-to)31-64
Number of pages34
JournalArchive for Mathematical Logic
Volume43
Issue number1
DOIs
StatePublished - Jan 2004

Keywords

  • Abelian group
  • Definable equivalence relation
  • Ext
  • Generalized descriptive set theory to uncountable cardinals
  • Perfect sets of pairwise non equivalence
  • Set theory

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