L(R) absoluteness under proper forcings

Details L(R) absoluteness under proper forcings L(R) absoluteness under proper forcings

1999-09-08

arxiv.org/abs/math/9909043v1

Mathematics

Logic

15 pages

Scientific paper

We isolate a new large cardinal concept, "remarkability." Consistencywise, remarkable cardinals are between ineffable and omega-Erdos cardinals. They are characterized by the existence of "0^sharp-like" embeddings; however, they relativize down to L. It turns out that the existence of a remarkable cardinal is equiconsistent with L(R) absoluteness under proper forcings. In particular, said absoluteness does not imply Pi^1_1 determinacy.

Affiliated with

Also associated with

No associations

Rating

L(R) absoluteness under proper forcings 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 L(R) absoluteness under proper forcings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and L(R) absoluteness under proper forcings will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-89469