Stationary sets and infinitary logic

Details Stationary sets and infinitary logic Stationary sets and infinitary logic

1997-06-15

arxiv.org/abs/math/9706225v1

Mathematics

Logic

Scientific paper

Let K^0_lambda be the class of structures < lambda,<,A>, where A subseteq lambda is disjoint from a club, and let K^1_lambda be the class of structures < lambda,<,A>, where A subseteq lambda contains a club. We prove that if lambda = lambda^{< kappa} is regular, then no sentence of L_{lambda^+ kappa} separates K^0_lambda and K^1_lambda. On the other hand, we prove that if lambda = mu^+, mu = mu^{< mu}, and a forcing axiom holds (and aleph_1^L= aleph_1 if mu = aleph_0), then there is a sentence of L_{lambda lambda} which separates K^0_lambda and K^1_lambda .

Affiliated with

Also associated with

No associations

Rating

Stationary sets and infinitary logic 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 Stationary sets and infinitary logic, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stationary sets and infinitary logic will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-635843