State transitions as morphisms for complete lattices

DOI10.1023/A:1003681519653zbMATH Open0969.18005arXivmath/0008039OpenAlexW4300213528MaRDI QIDQ1586453

Bob Coecke, Isar Stubbe

Publication date: 25 February 2001

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Abstract: We enlarge the hom-sets of categories of complete lattices by introducing `state transitions' as generalized morphisms. The obtained category will then be compared with a functorial quantaloidal enrichment and a contextual quantaloidal enrichment that uses a specific concretization in the category of sets and partially defined maps ($Parset$).

Full work available at URL: https://arxiv.org/abs/math/0008039

zbMATH Keywords

generalized morphismsstate transitioncontextual quantaloidal enrichmentfunctorial quantaloidal enrichmenthom-sets of categories of complete lattices

Mathematics Subject Classification ID

Preorders, orders, domains and lattices (viewed as categories) (18B35) Quantales (06F07)

Related Items (3)

Division algebras and quantum theory ⋮ Catalan states of lattice crossing ⋮ State-transition categories

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