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Separating weak partial square principles

Authors
Journal
Annals of Pure and Applied Logic
0168-0072
Publisher
Elsevier
Volume
165
Issue
2
Identifiers
DOI: 10.1016/j.apal.2013.08.003
Keywords
  • Square
  • Weak Square
  • Partial Square
  • Weak Partial Square

Abstract

Abstract We introduce the weak partial square principles □λ,κp and □λ,<κp, which combine the ideas of a weak square sequence and a partial square sequence. We construct models in which weak partial square principles fail. The main result of the paper is that □λ,κ does not imply □λ,<κp.

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