Compactness in abelian group theory

Fuente: arXiv
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Main Authors: Calderoni, Filippo, Ostrem, Ava
Format: Preprint
Published: 2025
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author Calderoni, Filippo
Ostrem, Ava
author_facet Calderoni, Filippo
Ostrem, Ava
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2508_16038
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Compactness in abelian group theory
Calderoni, Filippo
Ostrem, Ava
Logic
03E55, 20K25
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.
title Compactness in abelian group theory
topic Logic
03E55, 20K25
url https://arxiv.org/abs/2508.16038