A CONJECTURAL CLASSIFICATION OF STRONGLY DEPENDENT FIELDS

Yatir Halevi, Assaf Hasson, Franziska Jahnke

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

We survey the history of Shelah's conjecture on strongly dependent fields, give an equivalent formulation in terms of a classification of strongly dependent fields and prove that the conjecture implies that every strongly dependent field has finite dp-rank.

Original languageEnglish
Pages (from-to)182-195
Number of pages14
JournalBulletin of Symbolic Logic
Volume25
Issue number2
DOIs
StatePublished - 1 Jun 2019

Keywords

  • NIP
  • Shelah's conjecture
  • strong dependence
  • valued fields

ASJC Scopus subject areas

  • Philosophy
  • Logic

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