Fodor's lemma can fail everywhere

Karagila, A

Karagila, A (reprint author), Hebrew Univ Jerusalem, Einstein Inst Math, Edmond J Safra Campus, IL-91904 Jerusalem, Israel.; Karagila, A (reprint author), TU Wien, DMG Algebra, Wiedner Hauptstr 8-10-104, A-1040 Vienna, Austria.

ACTA MATHEMATICA HUNGARICA, 2018; 154 (1): 231

Abstract

We show that it is equiconsistent with that Fodor's lemma fails everywhere, and furthermore that the club filter on every regular cardinal is not even......

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