Set Mappings on $4$ -Tuples [Book Review]

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Notre Dame Journal of Formal Logic 59 (3):405-416 (2018)
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Abstract

In this article, we study set mappings on 4-tuples. We continue a previous work of Komjath and Shelah by getting new finite bounds on the size of free sets in a generic extension. This is obtained by an entirely different forcing construction. Moreover, we prove a ZFC result for set mappings on 4-tuples. Also, as another application of our forcing construction, we give a consistency result for set mappings on triples.

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10.1215/00294527-2018-0002

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Citations of this work

Some simple theories from a Boolean algebra point of view.M. Malliaris & S. Shelah - 2024 - Annals of Pure and Applied Logic 175 (1):103345.

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Two consistency results on set mappings.Peter Komjath & Saharon Shelah - 2000 - Journal of Symbolic Logic 65 (1):333-338.

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