Understanding preservation theorems: Chapter VI of Proper and Improper Forcing

2007/06/26 by Chaz Schlindwein, Schlindwein, Chaz
Computer Science · Economics, Econometrics and Finance · Mathematics · #03E35 #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms #Economic theories and models #FOS: Mathematics #Logic (math.LO) #math.LO #msc:03E35

paper · pdf · doi:10.48550/arxiv.0706.3872

arxiv created 2007/06/26 · openalex publication_date 2007/06/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This expository paper covers the first two sections of chapter VI of Shelah's book "Proper and Improper Forcing," including the preservationn (using CS iterations of proper forcings) of omega-omega bounding, Sacks property, Lavewr property, P-point property, and others.

Citations

• Preserving preservation

Related

• Understanding Preservation Theorems, Chapter VI of Proper and Improper Forcing, I
• Understanding preservation theorems: omega-omega bounding and Sacks property
• Understanding Preservation Theorems, II
• Preserving old ([omega]^aleph₀,supseteq^*) is proper
• Two preservation theorems