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pro vyhledávání: '"Ulrich, A S"'
We consider a large family of theories of equivalence relations, each with finitely many classes, and assuming the existence of an $\omega$-Erdos cardinal, we determine which of these theories are Borel complete. We develop machinery, including {\em
Externí odkaz:
http://arxiv.org/abs/2407.10370
We prove that for a countable, commutative ring $R$, the class of countable $R$-modules either has only countably many isomorphism types, or else it is Borel complete. The machinery gives a succinct proof of the Borel completeness of TFAB, the class
Externí odkaz:
http://arxiv.org/abs/2209.06898
Autor:
Strandberg, Erik, Horten, Patrick, Bentz, David, Wadhwani, Parvesh, Bürck, Jochen, Ulrich, Anne S.
Publikováno v:
In Biophysical Chemistry March 2025 318
A proof of the Borel completeness of torsion free abelian groups is presented. This proof differs considerably from the approach of Paolini-Shelah.
Externí odkaz:
http://arxiv.org/abs/2202.07452
We develop general machinery to cast the class of potential canonical Scott sentences of an infinitary sentence $\Phi$ as a class of structures in a related language. From this, we show that $\Phi$ has a Borel complete expansion if and only if $S_\in
Externí odkaz:
http://arxiv.org/abs/2109.06140
Publikováno v:
In International Journal of Refractory Metals and Hard Materials June 2024 121
We prove that many seemingly simple theories have Borel complete reducts. Specifically, if a countable theory has uncountably many complete 1-types, then it has a Borel complete reduct. Similarly, if $Th(M)$ is not small, then $M^{eq}$ has a Borel co
Externí odkaz:
http://arxiv.org/abs/2103.09724
Autor:
Beck, Katharina, Ulrich, Anke S., Czerny, Andreas K., White, Emma M.H., Heilmaier, Martin, Galetz, Mathias C.
Publikováno v:
In Surface & Coatings Technology 30 January 2024 476
Akademický článek
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Autor:
Greil, Frauke, Punampalam, Rajalakshmi, Walther, Torsten H., Heißler, Stefan, Ulrich, Anne S.
Publikováno v:
In Journal of Molecular Liquids 1 September 2023 385