English

Modern Forcing Techniques related to Finite Support Iteration: Ultrapowers, templates, and submodels

Logic 2022-02-03 v2

Abstract

This is an expository paper about several sophisticated forcing techniques closely related to standard finite support iterations of ccc partial orders. We focus on the four topics of ultrapowers of forcing notions, iterations along templates, Boolean ultrapowers of forcing notions, and restrictions of forcing notions to elementary submodels.

Keywords

Cite

@article{arxiv.2101.11494,
  title  = {Modern Forcing Techniques related to Finite Support Iteration: Ultrapowers, templates, and submodels},
  author = {Joerg Brendle},
  journal= {arXiv preprint arXiv:2101.11494},
  year   = {2022}
}

Comments

34 pages. Revised version. New title. Major changes in sections 1 and 2