Sh:373

• Judah, H. I., Rosłanowski, A., & Shelah, S. (1994). Examples for Souslin forcing. Fund. Math., 144(1), 23–42.
• Abstract:
We give a model where there is a ccc Souslin forcing which does not satisfy the Knaster condition. Next, we present a model where there is a \sigma-linked not \sigma-centered Souslin forcing such that all its small subsets are \sigma-centered but Martin Axiom fails for this order. Furthermore, we construct a totally nonhomogeneous Souslin forcing and we build a Souslin forcing which is proper but not ccc that does not contain a perfect set of mutually incompatible conditions. Finally we show that ccc \Sigma^1_2-notions of forcing may not be indestructible ccc.
• published version (20p)
Bib entry
@article{Sh:373,
author = {Judah, Haim I. and Ros{\l}anowski, Andrzej and Shelah, Saharon},
title = {{Examples for Souslin forcing}},
journal = {Fund. Math.},
fjournal = {Fundamenta Mathematicae},
volume = {144},
number = {1},
year = {1994},
pages = {23--42},
issn = {0016-2736},
mrnumber = {1271476},
mrclass = {03E40 (03E15 03E35 04A15)},
doi = {10.4064/fm-144-1-23-42},
note = {\href{https://arxiv.org/abs/math/9310224}{arXiv: math/9310224}},
arxiv_number = {math/9310224}
}