Set Mappings on 4-Tuples

Shahram Mohsenipour; Saharon Shelah

doi:10.1215/00294527-2018-0002

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Home > Journals > Notre Dame J. Formal Logic > Volume 59 > Issue 3 > Article

2018 Set Mappings on

4

-Tuples

Shahram Mohsenipour, Saharon Shelah

Notre Dame J. Formal Logic 59(3): 405-416 (2018). DOI: 10.1215/00294527-2018-0002

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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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Shahram Mohsenipour. Saharon Shelah. "Set Mappings on $4$ -Tuples." Notre Dame J. Formal Logic 59 (3) 405 - 416, 2018. https://doi.org/10.1215/00294527-2018-0002