A new Galois structure in the category of internal preorders

zbMath1435.18009arXiv1909.08826MaRDI QIDQ5220054

Marino Gran, Alberto Facchini, Carmelo Antonio Finocchiaro

Publication date: 10 March 2020

Full work available at URL: https://arxiv.org/abs/1909.08826

zbMATH Keywords

Galois theorypartial ordersAlexandroff-discrete spacesinternal preordersmonotone-light factorization system

Mathematics Subject Classification ID

Torsion theories, radicals (18E40) Preorders, orders, domains and lattices (viewed as categories) (18B35) Factorization systems, substructures, quotient structures, congruences, amalgams (18A32) Galois correspondences, closure operators (in relation to ordered sets) (06A15) Categorical Galois theory (18E50)

Related Items (6)

The stable category of preorders in a pretopos. I: General theory ⋮ Groupoids and skeletal categories form a pretorsion theory in \(\mathsf{Cat}\) ⋮ Pretorsion theories in general categories ⋮ Prekernels of topologically axiomatized subcategories of concrete categories ⋮ Torsion theories and coverings of preordered groups ⋮ The stable category of preorders in a pretopos. II: The universal property

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