# Sh:1105

• Larson, P. B., & Shelah, S. (2018). A model of ZFA + PAC with no outer model of ZFAC with the same pure part. Arch. Math. Logic, 57(7-8), 853–859.
• Abstract:
We produce a model of \mathsf{ZFA} + \mathsf{PAC} such that no outer model of \mathsf{ZFAC} has the same pure sets, answering a question asked privately by Eric Hall.
• published version (7p)
Bib entry
@article{Sh:1105,
author = {Larson, Paul B. and Shelah, Saharon},
title = {{A model of ZFA + PAC with no outer model of ZFAC with the same pure part}},
journal = {Arch. Math. Logic},
fjournal = {Archive for Mathematical Logic},
volume = {57},
number = {7-8},
year = {2018},
pages = {853--859},
issn = {0933-5846},
mrnumber = {3850686},
mrclass = {03E35 (03C75 03E25)},
doi = {10.1007/s00153-018-0610-y}
}