The tensor product of continuous lattices

DOI10.1007/BF01182783zbMath0415.06004MaRDI QIDQ599836

Hans-Jürgen Bandelt

Publication date: 1980

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172948

zbMATH Keywords

Galois connectionsdistributive continuous latticeslattices of open subsetslocally quasicompact spacestensor product of complete latticestensor product of continuous lattices

Mathematics Subject Classification ID

Complete lattices, completions (06B23) Local compactness, (sigma)-compactness (54D45) Topological lattices (06B30) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Related Items (6)

An order theoretic framework for overlapping clustering ⋮ Tensor products and relation quantales ⋮ Two-level semantics and abstract interpretation ⋮ ORDERED ONEPOINT-COMPACTIFICATIONS, STABLY CONTINUOUS FRAMES AND TENSORS ⋮ The reduced relative power operation on abstract domains ⋮ An extension of the fuzzy unit interval to a tensor product with completely distributive first factor

Cites Work

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• Tensor products of semilattices and distributive lattices
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• The structure of Galois connections
• On the Lattice of All Join-Endomorphisms of a Lattice
• Tight Galois Connections and Complete Distributivity
• Filter Monads, Continuous Lattices and Closure Systems
• Extension of topological homology theories to partially orderd sets.
• The Spectral Theory of Distributive Continuous Lattices
• A Galois problem for mappings
• Galois Connections and Pair Algebras

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