Work

Deconstructible abstract elementary classes of modules and categoricity

Year: 2024

Type: article

Abstract: We prove a version of Shelah's categoricity conjecture for arbitrary deconstructible classes of modules. Moreover, we show that if is a deconstructible class of modules that fits in an abstract elementary class such that (1) is closed under direct summands and (2) refines direct summands, then is closed under arbitrary direct limits. In the Appendix, we prove that the assumption (2) is not needed in some models of ZFC.

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.13172

Authors: Jan Šaroch, Jan Trlifaj

Institution: Charles University

Language: English

Topic: Advanced Topology and Set Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,780

Funder: Grantová Agentura České Republiky