Understanding preservation theorems: omega-omega bounding and Sacks property

2005/05/30 by Chaz Schlindwein, Schlindwein, Chaz · 1 citation
Computer Science · Engineering · Mathematics · #03E35 #Advanced Control Systems Optimization #Complexity and Algorithms in Graphs #FOS: Mathematics #Logic (math.LO) #Stochastic Gradient Optimization Techniques #math.LO #msc:03E35

paper · pdf · doi:10.48550/arxiv.math/0505645

openalex publication_date 2005/05/30 · arxiv created 2005/08/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is an expository paper for Chapter 6 of Proper and Improper Forcing. Now includes an exposition of Shelah's proof of preservation of Sacks property as well as omega-omega bounding.

Cited by

• Understanding Preservation Theorems, Chapter VI of Proper and Improper Forcing, I

Related

• Understanding preservation theorems: Chapter VI of Proper and Improper Forcing
• Understanding Preservation Theorems, Chapter VI of Proper and Improper Forcing, I
• Understanding Preservation Theorems, II
• Preserving old ([omega]^aleph₀,supseteq^*) is proper
• Sacks Forcing and the Shrink Wrapping Property