Tag Archives: Erdos Cardinal

Strong failures of higher analogs of Hindman’s Theorem

Joint work with David J. Fernández Bretón. Abstract.  We show that various analogs of Hindman’s Theorem fail in a strong sense when one attempts to obtain uncountable monochromatic sets: Theorem 1. There exists a colouring c:RQ, such that … Continue reading

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A large cardinal in the constructible universe

In this post, we shall provide a proof of Silver’s theorem that the Erdos caridnal κ(ω) relativizes to Godel’s constructible universe. First, recall some definitions. Given a function f:[κ]<ωμ, we say that Iκ is a set of indiscernibles for … Continue reading

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