Complete quotient Boolean algebras

Details Complete quotient Boolean algebras Complete quotient Boolean algebras

1994-01-15

arxiv.org/abs/math/9401212v1

Trans. Amer. Math. Soc. 347 (1995), 1963--1979

Mathematics

Logic

Scientific paper

For I a proper, countably complete ideal on P(X) for some set X, can the quotient Boolean algebra P(X)/I be complete? This question was raised by Sikorski in 1949. By a simple projection argument as for measurable cardinals, it can be assumed that X is an uncountable cardinal kappa, and that I is a kappa-complete ideal on P(kappa) containing all singletons. In this paper we provide consequences from and consistency results about completeness.

Affiliated with

Also associated with

No associations

Rating

Complete quotient Boolean algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Complete quotient Boolean algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Complete quotient Boolean algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-155660