Cascades, Order and Ultrafilters

2012/01/10 by Starosolski, Andrzej
#03E04 #03E05 #FOS: Mathematics #Logic (math.LO)

paper · doi:10.48550/arxiv.1201.2146

Abstract

We investigate mutual behavior of cascades, contours of which are contained in a fixed ultrafilter. Using that relation we prove (ZFC) that the class of strict J_ω^ω-ultrafilters, introduced by J. E. Baumgartner in Ultrafilters on ω, is empty. We translate the result to the language of

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