%0 Journal Article
%T Independence for $(¦Ë,¦Ì)$
%A Shahram Mohsenipour
%A Saharon Shelah
%J Mathematics
%D 2015
%I arXiv
%X 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.
%U http://arxiv.org/abs/1510.02216v1