On squares, outside guessing of clubs and I_{<f}[lambda]

Details On squares, outside guessing of clubs and I_{<f}[lambda] On squares, outside guessing of clubs and I_{<f}[lambda]

1995-10-15

arxiv.org/abs/math/9510216v1

Fund. Math. 148 (1995), 165--198

Mathematics

Logic

Scientific paper

Suppose that lambda = mu^+. We consider two aspects of the square property on subsets of lambda. First, we have results which show e.g. that for aleph_0 <= kappa =cf (kappa)< mu, the equality cf([mu]^{<= kappa}, subseteq)= mu is a sufficient condition for the set of elements of lambda whose cofinality is bounded by kappa, to be split into the union of mu sets with squares. Secondly, we introduce a certain weak version of the square property and prove that if mu is a strong limit, then this weak square property holds on lambda without any additional assumptions

Affiliated with

Also associated with

No associations

Rating

On squares, outside guessing of clubs and I_{<f}[lambda] 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 On squares, outside guessing of clubs and I_{<f}[lambda], we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On squares, outside guessing of clubs and I_{<f}[lambda] will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-248933