A CONJECTURAL CLASSIFICATION OF STRONGLY DEPENDENT FIELDS

A CONJECTURAL CLASSIFICATION OF STRONGLY DEPENDENT FIELDS
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强相关域的推测分类

DOI:
10.1017/bsl.2019.13
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发表时间:
2018
期刊:
The Bulletin of Symbolic Logic
影响因子:
--
通讯作者:
Franziska Jahnke
Franziska Jahnke
中科院分区:
--
文献类型:
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作者:
Yatir Halevi;Assaf Hasson;Franziska Jahnke

文献摘要

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本文回顾了强相依场上谢拉猜想的发展历史,给出了强相依场分类的一个等价形式,并证明了该猜想蕴含着每个强相依场都有有限的DP-秩.
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.