Applications of the ergodic iteration theorem

作者：Zapletal Jindrich^*

来源：Mathematical Logic Quarterly, 2010, 56(2): 116-125.

DOI：10.1002/malq.200810041

• n-localization property
• weak Sacks property
• countable support iterations
• ergodic iteration theorem

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.

• 出版日期2010-4