Club guessing principles imply the existence of long towers of almost disjoint sets, yielding new non-saturation results for ideals extending the nonstationary ideal.
PRIMA VESI, Guessing Axioms, Invariance and Suslin Trees , Doctoral dissertation, University of East Anglia, 2011
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Towers and clubs
Club guessing principles imply the existence of long towers of almost disjoint sets, yielding new non-saturation results for ideals extending the nonstationary ideal.