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arxiv: 1510.02216 · v2 · pith:IFKLTMB4new · submitted 2015-10-08 · 🧮 math.LO

Set mappings on 4-tuples

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keywords mappingstuplesconstructionforcingresultanotherapplicationbounds
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In this paper 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 and also as another application of our forcing construction we give a consistency result for set mappings on triples.

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