Distributive Cauchy lattices
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Publication:793765
DOI10.1007/BF01198525zbMath0539.06008OpenAlexW2087065045MaRDI QIDQ793765
Publication date: 1984
Published in: Algebra Universalis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01198525
distributive latticescompletionsCauchy structuresorder convergencelattice convergencesMacNeille lattice completion
Complete distributivity (06D10) Baire category, Baire spaces (54E52) Complete lattices, completions (06B23) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Topological lattices (06B30)
Related Items (13)
Distinguished extensions of an MV-algebra ⋮ Exact and strongly exact filters ⋮ Unnamed Item ⋮ The Dedekind MacNeille site completion of a meet semilattice ⋮ Maximal essential extensions in the context of frames ⋮ Distinguished extensions of a lattice-ordered group ⋮ Exact filters and joins of closed sublocales ⋮ Separation properties at \(p\) for the topological category of Cauchy spaces ⋮ A note on Cauchy spaces ⋮ Notes on exact meets and joins. ⋮ Some general aspects of exactness and strong exactness of meets ⋮ Distributive laws for concept lattices ⋮ Extending semilattices to frames using sites and coverages
Cites Work
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- Completion functors for Cauchy spaces
- Regular completions of Cauchy spaces
- On the order topology in a lattice
- Some considerations on convergence in abelian lattice-groups
- Categorial characterization of the MacNeille completion
- Projective and injective distributive lattices
- Uniform convergence structures
- A decomposition theorem for partially ordered sets
- Distributivity in lattices
- Theory of models with generalized atomic formulas
- Convergence and Cauchy Structures on Lattice Ordered Groups
- Partially Ordered Sets
- A Subdirect-Union Representation for Completely Distributive Complete Lattices
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