Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

A modification of Shelah's oracle-c.c. with applications


Author: Winfried Just
Journal: Trans. Amer. Math. Soc. 329 (1992), 325-356
MSC: Primary 03E35; Secondary 06E05, 28A99
DOI: https://doi.org/10.1090/S0002-9947-1992-1022167-7
MathSciNet review: 1022167
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: A method of constructing iterated forcing notions that has a scope of applications similar to Shelah's oracle-c.c. is presented. This method yields a consistency result on homomorphisms of quotient algebras of the Boolean algebra $ \mathcal{P}(\omega )$. Also, it is shown to be relatively consistent with ZFC that the Boolean algebra of Lebesgue measurable subsets of the unit interval has no projective lifting.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 03E35, 06E05, 28A99

Retrieve articles in all journals with MSC: 03E35, 06E05, 28A99


Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1992-1022167-7
Keywords: Iterated forcing, Cohen reals, ideal, lifting
Article copyright: © Copyright 1992 American Mathematical Society