On nice equivalence relations on 2^λ
| dc.creator | Shelah, Saharon | |
| dc.date | 2000-09-06 | |
| dc.date.accessioned | 2026-07-07T04:37:14Z | |
| dc.date.available | 2026-07-07T04:37:14Z | |
| dc.description | 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. | |
| dc.identifier | https://arxiv.org/abs/math/0009064 | |
| dc.identifier | http://arxiv.org/abs/math/0009064 | |
| dc.identifier | Arch. Math. Logic 43 No. 1 (2004) 31--64 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59880 | |
| dc.subject | Logic | |
| dc.title | On nice equivalence relations on 2^λ | |
| dc.type | text |