Applications of the ergodic iteration theorem

0343850 - MÚ 2011 RIV DE eng J - Journal Article
Zapletal, Jindřich
Applications of the ergodic iteration theorem.
Mathematical Logic Quarterly. Roč. 56, č. 2 (2010), s. 116-125. ISSN 0942-5616. E-ISSN 1521-3870
R&D Projects: GA AV ČR IAA100190902; GA MŠMT MEB051006
Institutional research plan: CEZ:AV0Z10190503
Keywords : n-localization property * weak Sacks property * countable support iterations * ergodic iteration theorem
Subject RIV: BA - General Mathematics
Impact factor: 0.361, year: 2010
http://onlinelibrary.wiley.com/doi/10.1002/malq.200810041/abstract;jsessionid=EF030FD4A0ECC9E213B2732A292E799F.f03t02

I prove several natural preservation theorems for the countable support iteration. This solves a question of Roslanowski regarding the preservation of localization properties and greatly simplifies the proofs in the area.
Permanent Link: http://hdl.handle.net/11104/0186228