On the metrical and quantalic versions of the \(\ast\)-autonomous category of sup-lattices

MaRDI QIDQ6499417

Walter Tholen

Publication date: 8 May 2024

Published in: Theory and Applications of Categories (Search for Journal in Brave)

zbMATH Keywords

enriched categoryquantaledualizing objectsup-lattice\(\ast\)-autonomous categorycocomplete

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Homological dimension (category-theoretic aspects) (18G20) Homological dimension in associative algebras (16E10) Hopf algebras and their applications (16T05)

Cites Work

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• *-autonomous categories. With an appendix by Po-Hsiang Chu
• On the categorical meaning of Hausdorff and Gromov distances. I.
• Enriched Stone-type dualities
• Semigroups in complete lattices. Quantales, modules and related topics
• Topological theories and closed objects
• Monoidal Topology
• An extension of the Galois theory of Grothendieck
• Q-modules are Q-suplattices
• Metric spaces, generalized logic, and closed categories
• Coherent Extensions and Relational Algebras
• Tensor Products and Bimorphisms
• Adjoint triangles
• Relational algebras

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