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math.LO2011
Oscillations and their applications in partition calculus
Laura Fontanella, Boban Velickovic
Oscillations are a powerful tool for building examples of colorings witnessing negative partition relations. We survey several results illustrating the general technique and presen…
math.LO2011
Strong tree Properties for two successive cardinals
Laura Fontanella
An inaccessible cardinal is supercompact when -ITP holds for all We prove that if there is a model of $\ZFC$ with two supercompact cardinals, then there is a…