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Preprint Number 499

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499. M. Malliaris and S. Shelah
Cofinality spectrum theorems in model theory, set theory and general topology

Submission date: 27 August 2012


We connect and solve two longstanding open problems in quite different areas: the model-theoretic question of whether SOP_2 is maximal in Keisler's order, and the question from set theory/general topology of whether p = t, the oldest problem on cardinal invariants of the continuum. We do so by showing these problems can be translated into instances of a more fundamental problem which we state and solve completely, using model-theoretic methods.

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Full text arXiv 1208.5424: pdf, ps.

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