Was Sierpiński right? III can continuum-c.c. Times c.c.c. be continuum-c.c.?

Saharon Shelah

doi:10.1016/0168-0072(95)00036-4

Was Sierpiński right? III can continuum-c.c. Times c.c.c. be continuum-c.c.?

Saharon Shelah^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We prove the consistency of: if B₁ B₂ are Boolean algebras satisfying the c.c.c. and the 2^א_o-c.c. respectively then B₁ × B₂ satisfies the 2^א_o-c.c. We start with a universe with a Ramsey cardinal (less suffice).

Original language	English
Pages (from-to)	259-269
Number of pages	11
Journal	Annals of Pure and Applied Logic
Volume	78
Issue number	1-3
DOIs	https://doi.org/10.1016/0168-0072(95)00036-4
State	Published - 4 Apr 1996

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10.1016/0168-0072(95)00036-4

Cite this

@article{35d214c00cd040de87fe9d676e5875bd,

title = "Was Sierpi{\'n}ski right? III can continuum-c.c. Times c.c.c. be continuum-c.c.?",

abstract = "We prove the consistency of: if B1 B2 are Boolean algebras satisfying the c.c.c. and the 2אo-c.c. respectively then B1 × B2 satisfies the 2אo-c.c. We start with a universe with a Ramsey cardinal (less suffice).",

author = "Saharon Shelah",

year = "1996",

month = apr,

day = "4",

doi = "10.1016/0168-0072(95)00036-4",

language = "אנגלית",

volume = "78",

pages = "259--269",

journal = "Annals of Pure and Applied Logic",