On factorisation systems for Ord-enriched categories and categories of partial maps

zbMath1478.18002arXiv2103.07572MaRDI QIDQ5025074

Leonardo Larizza

Publication date: 1 February 2022

Full work available at URL: https://arxiv.org/abs/2103.07572

zbMATH Keywords

factorization systemspartial maps\textbf{Ord}-enriched categorieslax arrow categories

Mathematics Subject Classification ID

Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20) Preorders, orders, domains and lattices (viewed as categories) (18B35) Factorization systems, substructures, quotient structures, congruences, amalgams (18A32) Enriched categories (over closed or monoidal categories) (18D20) Categories of spans/cospans, relations, or partial maps (18B10)

Cites Work

• Unnamed Item
• Lax orthogonal factorisation systems
• Algebraic model structures
• Algebraic weak factorisation systems. I: Accessible AWFS.
• Categories of partial maps
• Weak factorization systems and topological functors
• Cofibrantly generated lax orthogonal factorisation systems
• Categories of continuous functors. I
• Coherent Extensions and Relational Algebras
• Order-enrichment for categories of partial maps
• Lax orthogonal factorisations in ordered structures
• Understanding the small object argument

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