# Sh:518

• Laskowski, M. C., & Shelah, S. (1996). Forcing isomorphism. II. J. Symbolic Logic, 61(4), 1305–1320.
• Abstract:
If T has only countably many complete types, yet has a type of infinite multiplicity then there is a ccc forcing notion Q such that, in any Q–generic extension of the universe, there are non-isomorphic models M_1 and M_2 of T that can be forced isomorphic by a ccc forcing. We give examples showing that the hypothesis on the number of complete types is necessary and what happens if “ccc” is replaced other cardinal-preserving adjectives. We also give an example showing that membership in a pseudo-elementary class can be altered by very simple cardinal-preserving forcings.
• Current version: 2000-11-01_10 (23p) published version (17p)
Bib entry
@article{Sh:518,
author = {Laskowski, Michael Chris and Shelah, Saharon},
title = {{Forcing isomorphism. II}},
journal = {J. Symbolic Logic},
fjournal = {The Journal of Symbolic Logic},
volume = {61},
number = {4},
year = {1996},
pages = {1305--1320},
issn = {0022-4812},
mrnumber = {1456109},
mrclass = {03C45 (03C55 03E40)},
doi = {10.2307/2275818},
note = {\href{https://arxiv.org/abs/math/0011169}{arXiv: math/0011169}},
arxiv_number = {math/0011169}
}