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S-spaces and large continuum

2022/06/22 by Alan Dow, Saharon Shelah, Dow, Alan +1
Mathematics · Computer Science · #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms #Advanced Banach Space Theory

paper · pdf · doi:10.48550/arxiv.2206.11122

Abstract

We prove that it is consistent with large values of the continuum that there are no S-spaces. We also show that we can also have that compact separable spaces of countable tightness have cardinality at most the continuum.

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