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Splitting stationary sets from weak forms of Choice
Author(s) -
Larson Paul,
Shelah Saharon
Publication year - 2009
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.200810011
Subject(s) - cofinality , mathematics , continuation , axiom of choice , axiom , mathematical economics , context (archaeology) , axiom independence , combinatorics , discrete mathematics , pure mathematics , uncountable set , set (abstract data type) , set theory , computer science , geometry , geography , countable set , programming language , archaeology
Working in the context of restricted forms of the Axiom of Choice, we consider the problem of splitting the ordinals below λ of cofinality θ into λ many stationary sets, where θ < λ are regular cardinals. This is a continuation of [4] (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)