Canonizing certain Borel equivalences for Silver forcing

0384238 - MÚ 2013 RIV NL eng J - Journal Article
Doucha, Michal
Canonizing certain Borel equivalences for Silver forcing.
Topology and its Applications. Roč. 159, č. 13 (2012), s. 2973-2979. ISSN 0166-8641. E-ISSN 1879-3207.
[Prague Symposium on General Topology and its Relations to Modern Analysis and Algebra /11./. Prague, 07.08.2011-12.08.2011]
Institutional research plan: CEZ:AV0Z10190503
Keywords : Borel equivalence relations * silver ideal * canonical Ramsey theorem
Subject RIV: BA - General Mathematics
Impact factor: 0.562, year: 2012
http://www.sciencedirect.com/science/article/pii/S0166864112002180#

Following the recent research of J. Zapletal we study Borel equivalence relations with connection to the Silver forcing. We prove that l(P) relations and generally equivalence relations given by F-sigma P-ideals can be canonized to the full equivalence relation or to a subset of E-0. Next we classify a certain subclass of subequivalences of E-0 on the Silver forcing and find perfectly many mutually different subequivalences of E-0 with respect to the Silver forcing.
Permanent Link: http://hdl.handle.net/11104/0213948