Sh:1016
- Laskowski, M. C., & Shelah, S. (2015). Borel completeness of some \aleph_0-stable theories. Fund. Math., 229(1), 1–46. arXiv: 1211.0558 DOI: 10.4064/fm229-1-1 MR: 3312114
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Abstract:
We study \aleph_0-stable theories, and prove that if T either has eni-DOP or is eni-deep, then its class of countable models is Borel complete. We introduce the notion of \lambda-Borel completeness and prove that such theories are \lambda-Borel complete. Using this, we conclude that an \aleph_0-stable theory satisfies I_{\infty, \aleph_0}(T, \lambda) = 2^\lambda for all cardinals \lambda if and only if T either has eni-DOP or is eni-deep. - Version 2014-06-04_10 (56p) published version (46p)
Bib entry
@article{Sh:1016,
author = {Laskowski, Michael Chris and Shelah, Saharon},
title = {{Borel completeness of some $\aleph_0$-stable theories}},
journal = {Fund. Math.},
fjournal = {Fundamenta Mathematicae},
volume = {229},
number = {1},
year = {2015},
pages = {1--46},
issn = {0016-2736},
mrnumber = {3312114},
mrclass = {03C45 (03E15)},
doi = {10.4064/fm229-1-1},
note = {\href{https://arxiv.org/abs/1211.0558}{arXiv: 1211.0558}},
arxiv_number = {1211.0558}
}