Cichon's Diagram for uncountable cardinals

2016/11/24 by Brendle, Joerg, Brooke-Taylor, Andrew, Friedman, Sy-David +1 · 2 citations
#FOS: Mathematics #Logic (math.LO)

paper · doi:10.48550/arxiv.1611.08140

Abstract

We develop a version of Cichon's diagram for cardinal invariants on the generalized Cantor space 2^kappa or the generalized Baire space kappa^kappa where kappa is an uncountable regular cardinal. For strongly inaccessible kappa, many of the ZFC-results about the order relationship of the cardinal invariants which hold for omega generalize; for example we obtain a natural generalization of the Bartoszynski-Raisonnier-Stern Theorem. We also prove a number of independence results, both with

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