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The PCF Conjecture and Large Cardinals
Journal of Symbolic Logic 73 (2):674 - 688 (2008)
Abstract
We prove that a combinatorial consequence of the negation of the PCF conjecture for intervals, involving free subsets relative to set mappings, is not implied by even the strongest known large cardinal axiomAuthor's Profile
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Citations of this work
Large cardinals and gap-1 morasses.Andrew D. Brooke-Taylor & Sy-David Friedman - 2009 - Annals of Pure and Applied Logic 159 (1-2):71-99.
Tight stationarity and tree-like scales.William Chen - 2015 - Annals of Pure and Applied Logic 166 (10):1019-1036.
Approachable free subsets and fine structure derived scales.Dominik Adolf & Omer Ben-Neria - 2024 - Annals of Pure and Applied Logic 175 (7):103428.
References found in this work
Large cardinals and definable counterexamples to the continuum hypothesis.Matthew Foreman & Menachem Magidor - 1995 - Annals of Pure and Applied Logic 76 (1):47-97.
Shelah's pcf theory and its applications.Maxim R. Burke & Menachem Magidor - 1990 - Annals of Pure and Applied Logic 50 (3):207-254.
Canonical structure in the universe of set theory: part one.James Cummings, Matthew Foreman & Menachem Magidor - 2004 - Annals of Pure and Applied Logic 129 (1-3):211-243.
Canonical structure in the universe of set theory: Part two.James Cummings, Matthew Foreman & Menachem Magidor - 2006 - Annals of Pure and Applied Logic 142 (1):55-75.
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