The PCF conjecture and large cardinals

Luís Pereira

doi:10.2178/jsl/1208359066

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 axiom.

Citation

Download Citation

Luís Pereira. "The PCF conjecture and large cardinals." J. Symbolic Logic 73 (2) 674 - 688, June 2008. https://doi.org/10.2178/jsl/1208359066

Information

Published: June 2008

First available in Project Euclid: 16 April 2008

zbMATH: 1153.03024

MathSciNet: MR2414471

Digital Object Identifier: 10.2178/jsl/1208359066

Subjects:

Primary: 03E04 , 03E05 , 03E10 , 03E35 , 03E55

Keywords: continuous tree-like scales , free subsets , large cardinals , PCF conjecture , PCF theory

Abstract

Citation

Information

KEYWORDS/PHRASES

PUBLICATION TITLE:

PUBLICATION YEARS