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Was sierpinski right? IV

Journal of Symbolic Logic 65 (3):1031-1054 (2000)

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Covering a function on the plane by two continuous functions on an uncountable square – the consistency.Mariusz Rabus & Saharon Shelah - 2000 - Annals of Pure and Applied Logic 103 (1-3):229-240.details It is consistent that for every function there is an uncountable set and two continuous functions such that f {f0, f1} for every A2,α≠β. Download Export citation Bookmark 1 citation
Was Sierpiński right? III Can continuum-c.c. times c.c.c. be continuum-c.c.?Saharon Shelah - 1996 - Annals of Pure and Applied Logic 78 (1-3):259-269.details We prove the consistency of: if B 1 , B 2 are Boolean algebras satisfying the c.c.c. and the 2 ℵo -c.c. respectively then B 1 × B 2 satisfies the 2 ℵo -c.c. We start with a universe with a Ramsey cardinal. Download Export citation Bookmark 3 citations

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