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arXiv · 2212.04433

Categoricity for transfinite extensions of modules

Jan Trlifaj
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Abstract

For each deconstructible class of modules $\mathcal D$, we prove that the categoricity of $\mathcal D$ in a big cardinal is equivalent to its categoricity in a tail of cardinals. We also prove Shelah's Categoricity Conjecture for $(\mathcal D, \prec)$, where $(\mathcal D, \prec)$ is any abstract elementary class of roots of Ext.

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Jan Trlifaj. 2022-12-08. Categoricity for transfinite extensions of modules. https://doi.org/10.1090/bproc%2F194

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