The stable category of preorders in a pretopos. II: The universal property

DOI10.1007/s10231-022-01222-wzbMath1503.18004arXiv2201.08016OpenAlexW4281484624MaRDI QIDQ2088041

Marino Gran, Federico Campanini, Francis Borceux

Publication date: 21 October 2022

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.08016

zbMATH Keywords

equivalence relationspartial orderspreordersstable categorypretopos(pre)torsion theories

Mathematics Subject Classification ID

Torsion theories, radicals (18E40) Topoi (18B25) Preorders, orders, domains and lattices (viewed as categories) (18B35) Generalizations of ordered sets (06A75) Regular categories, Barr-exact categories (18E08) Extensive, distributive, and adhesive categories (18B50)

Related Items (2)

Groupoids and skeletal categories form a pretorsion theory in \(\mathsf{Cat}\) ⋮ Prekernels of topologically axiomatized subcategories of concrete categories

Cites Work

• Categories of partial maps
• Introduction to extensive and distributive categories
• The stable category of preorders in a pretopos. I: General theory
• Pretorsion theories, stable category and preordered sets
• Pretorsion theories in general categories
• A new Galois structure in the category of internal preorders
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