Weak saturation properties and side conditions

Monroe Eskew

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arXiv · 2209.00340

Weak saturation properties and side conditions

Monroe Eskew

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Abstract

Towards combining "compactness" and "hugeness" properties at $ω_2$, we investigate the relevance of side-conditions forcing. We reduce the upper bound on the consistency strength of the weak Chang's Conjecture at $ω_2$ using Neeman's forcing. But we find a barrier to the applicability of these methods to our problem and give a counterexample to a claim of Neeman about the effects of iterating such forcing.

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BibTeX RIS

Monroe Eskew. 2022-10-21. Weak saturation properties and side conditions. https://arxiv.org/abs/2209.00340

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