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From abstract alpha-Ramsey theory to abstract ultra-Ramsey theory
[article]

2016
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arXiv
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pre-print

We work within the framework of the Alpha-Theory introduced by Benci and Di Nasso. The Alpha-Theory postulates a few natural properties for an infinite "ideal" number α. The formulation provides an elementary axiomatics for the methods of abstract ultra-Ramsey theory. The main results are Theorem 10, Theorem 57, Theorem 67 and Theorem 73. Theorem 10 is an infinite-dimensional extension of the celebrated Ramsey's Theorem. We show that corollaries of this result include the Galvin-Pirky Theorem,

arXiv:1601.03831v1
fatcat:ma6jecv7unaf5m3k7jods4tiim