Pretorsion theories in lextensive categories

Borceux, Francis; Campanini, Federico; Gran, Marino

doi:10.1007/s11856-024-2682-1

Pretorsion theories in lextensive categories

Borceux, Francis

;

Campanini, Federico

;

Gran, Marino

(2025) Israel Journal of Mathematics — Vol. 265, p. 833-866 (2025)

Files

220511054.pdf

Open Access
Adobe PDF
329.99 KB

Download

Details

Authors

Borceux, FrancisUCLouvain
Author
Campanini, FedericoUCLouvain
Author
Gran, MarinoUCLouvain
Author

Abstract

We propose a construction of a stable category for any pretorsion theory in a lextensive category. We prove the universal property of the stable category, that extends previous results obtained for the stable category of internal preorders in a pretopos. Some examples are provided in the categories of topological spaces and of (small) categories.

Affiliations

UCLouvainSST/IRMP - Institut de recherche en mathématique et physique

Citations

APA
Chicago
FWB

Borceux, F., Campanini, F., & Gran, M. (2025). Pretorsion theories in lextensive categories. Israel Journal of Mathematics, 265, 833-866. https://doi.org/10.1007/s11856-024-2682-1 (Original work published 2025)