On nice equivalence relations on 2^λ

Details On nice equivalence relations on 2^λ On nice equivalence relations on 2^λ

2000-09-06

arxiv.org/abs/math/0009064v1

Mathematics

Logic

Scientific paper

The main question here is the possible generalization of the following theorem on ``simple'' equivalence relation on 2^omega to higher cardinals. Theorem: (1) Assume that: (a) E is a Borel 2-place relation on 2^omega, (b) E is an equivalence relation, (c) if eta, nu in 2^omega and (exists ! n)(eta(n) not= nu(n)), then eta, nu are not E --equivalent. Then there is a perfect subset of 2^omega of pairwise non E-equivalent members. (2) Instead of ``E is Borel'', ``E is analytic (or even a Borel combination of analytic relations)'' is enough. (3) If E is a Pi^1_2 relation which is an equivalence relation satisfying clauses (b)+(c) in V^Cohen, then the conclusion of (1) holds.

Affiliated with

Also associated with

No associations

Rating

On nice equivalence relations on 2^λ 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 nice equivalence relations on 2^λ, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On nice equivalence relations on 2^λ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-518805