Large continuum, oracles

Saharon Shelah

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arXiv · 0707.1818

Large continuum, oracles

Saharon Shelah

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Abstract

Our main theorem is about iterated forcing for making the continuum larger than aleph_2. We present a generalization of math.LO/0303294 which is dealing with oracles for random, etc., replacing aleph_1, aleph_2 by lambda,lambda^+ (starting with lambda=lambda^{ aleph_1). Well, instead of properness we demand absolute c.c.c. So we get, e.g. the continuum is lambda^+ but we can get cov(meagre)=lambda. We give some applications. As in math.LO/0303294, it is a "partial" countable support iteration but it is c.c.c.

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BibTeX RIS

Saharon Shelah. 2010-03-03. Large continuum, oracles. https://arxiv.org/abs/0707.1818

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