Symmetries between two Ramsey properties

Details Symmetries between two Ramsey properties Symmetries between two Ramsey properties

2001-09-16

arxiv.org/abs/math/0109101v1

Archive for Mathematical Logic 37 (1998) 241-260

Mathematics

Logic

Scientific paper

In this article we compare the well-known Ramsey property with a dual form of it, the so called dual-Ramsey property (which was suggested first by Carlson and Simpson). Even if the two properties are different, it can be shown that all classical results known for the Ramsey property also hold for the dual-Ramsey property. We will also show that the dual-Ramsey property is closed under a generalized Suslin operation (the similar result for the Ramsey property was proved by Matet). Further we compare two notions of forcing, the Mathias forcing and a dual form of it, and will give some symmetries between them. Finally we give some relationships between the dual-Mathias forcing and the dual-Ramsey property.

Affiliated with

Also associated with

No associations

Rating

Symmetries between two Ramsey properties 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 Symmetries between two Ramsey properties, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symmetries between two Ramsey properties will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-537353