COHERENT SYSTEMS OF FINITE SUPPORT ITERATIONS

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Publication:4638985

DOI10.1017/JSL.2017.20zbMATH Open1447.03013arXiv1609.05433OpenAlexW2964070547MaRDI QIDQ4638985

Author name not available (Why is that?)

Publication date: 2 May 2018

Published in: (Search for Journal in Brave)

Abstract: We introduce a forcing technique to construct three-dimensional arrays of generic extensions through FS (finite support) iterations of ccc posets, which we refer to as 3D-coherent systems. We use them to produce models of new constellations in Cicho'n's diagram, in particular, a model where the diagram can be separated into 7 different values. Furthermore, we show that this constellation of 7 values is consistent with the existence of a Delta31 well-order of the reals.


Full work available at URL: https://arxiv.org/abs/1609.05433



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