A CONJECTURAL CLASSIFICATION OF STRONGLY DEPENDENT FIELDS

Yatir Halevi; Assaf Hasson; Franziska Jahnke

doi:10.1017/bsl.2019.13

A CONJECTURAL CLASSIFICATION OF STRONGLY DEPENDENT FIELDS

Yatir Halevi, Assaf Hasson, Franziska Jahnke

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

11 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 language	English
Pages (from-to)	182-195
Number of pages	14
Journal	Bulletin of Symbolic Logic
Volume	25
Issue number	2
DOIs	https://doi.org/10.1017/bsl.2019.13
State	Published - 1 Jun 2019

Keywords

NIP
Shelah's conjecture
strong dependence
valued fields

ASJC Scopus subject areas

Philosophy
Logic

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10.1017/bsl.2019.13

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title = "A CONJECTURAL CLASSIFICATION OF STRONGLY DEPENDENT FIELDS",

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.",

keywords = "NIP, Shelah's conjecture, strong dependence, valued fields",

author = "Yatir Halevi and Assaf Hasson and Franziska Jahnke",

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year = "2019",

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AU - Hasson, Assaf

AU - Jahnke, Franziska

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N2 - 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.

AB - 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.

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KW - Shelah's conjecture

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KW - valued fields

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IS - 2

ER -

A CONJECTURAL CLASSIFICATION OF STRONGLY DEPENDENT FIELDS

Abstract

Keywords

ASJC Scopus subject areas

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