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The Dedekind-MacNeille completion as a reflector
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Hüllensysteme und Erweiterung von Quasi‐Ordnungen
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On Definitions of Cuts and Completion of Partially Ordered Sets
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RESTRUCTURING LATTICE THEORY: AN APPROACH BASED ON HIERARCHIES OF CONCEPTS
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A Compendium of Continuous Lattices
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Restructuring Lattice Theory: An Approach Based on Hierarchies of Concepts
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Bigeneration in complete lattices and principal separation in ordered sets
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Categorical characterization of the MacNeille completion
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Zur Kennzeichnung der Dedekind-MacNeilleschen HÜlle einer geordneten HÜlle
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A universal mapping characterization of the completion by cuts
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A completion - invariant extension of the concept of continuous lattices
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Scott convergence and scott topology in partially ordered sets II
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Compact generation in partially ordered sets
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Ideals In Partially Ordered Sets
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ORDER EXTENSIONS AS ADJOINT FUNCTORS
inferredcites →https://doi.org/10.1090/s0002-9939-1953-0058568-4openalex-snapshot
A Subdirect-Union Representation for Completely Distributive Complete Lattices
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Separation Axioms for Interval Topologies
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Partially Ordered Sets
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Darstellungen und Erweiterungen geordneter Mengen. I.
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Darstellungen und Erweiterungen geordneter Mengen. II.
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Finiteness conditions and distributive laws for Boolean algebras
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Adjunctions and Galois Connections: Origins, History and Development
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Topological Duality and Algebraic Completions
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Directed Completions and DM-Completions on $\mathcal {R}-$ Posets
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Algebraic Ordered Sets and Their Generalizations
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Bigeneration in complete lattices and principal separation in ordered sets
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Distributive laws for concept lattices
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MacNeille completions of lattice expansions
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On reflections for ordered algebras
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Betweenness Relations in a Categorical Setting
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Frink quasicontinuous posets
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Weak finitely regular relations and applications
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Completions of posemigroups by cuts and beyond
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Complete Congruences on Topologies and Down-set Lattices
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Generalized Continuous Posets and a New Cartesian Closed Category
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Choice-Free Dualities for Domains
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Comparison of MacNeille, Canonical, and Profinite Completions
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A Spectral-style Duality for Distributive Posets
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On the Coextension of Cut-Continuous Pomonoids
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$\mathcal {Z}$-quasidistributive and $\mathcal {Z}$-meet-distributive Posets
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Injective Hulls are Completions of Ordered Algebras
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Standard Completions for Pseudo Ordered Sets
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Ideal completion and Stone representation of ideal-distributive ordered sets
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Order-topological complete orthomodular lattices
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Completely Precontinuous Posets
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Meet Precontinuous Posets
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The Duality Theory of General Z -continuous Posets
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Infinite distributive laws versus local connectedness and compactness properties
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The upper topology and interval topology on quasi-hypercontinuous posets
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Non-reflective categories of some kinds of weakly sober spaces
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A completion-invariant extension of the concept of meet continuous lattices
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Essential and density topologies ons2-continuous posets
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Z-Continuous Posets and Their Topological Manifestation
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Notice of Retraction: Regular abstraction of granule in a concept lattice
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Decomposition based granule of concept lattice in network communication
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Convergence in $$s_{2}$$ s 2 -quasicontinuous posets
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A new view of relationship between atomic posets and complete (algebraic) lattices
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Split Hausdorff internal topologies on posets
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On generalized completely distributive posets
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A completion-invariant extension of the concept of quasi C-continuous lattices
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Fuzzy cut-stable map and its extension property1
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Characterization of extension map on fuzzy weakly cut-stable map
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Quantaloidal Completions of Order-enriched Categories and Their Applications
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