English

Compactness in abelian group theory

Logic 2025-08-26 v2

Abstract

In this paper we discuss large cardinals and compactness theorems in abelian group theory. More specifically, we generalize two classical compactness results for free abelian groups to the broader context of direct sums of cyclic groups.

Keywords

Cite

@article{arxiv.2508.16038,
  title  = {Compactness in abelian group theory},
  author = {Filippo Calderoni and Ava Ostrem},
  journal= {arXiv preprint arXiv:2508.16038},
  year   = {2025}
}

Comments

8 pages. Comments are welcome

R2 v1 2026-07-01T05:01:04.489Z