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- Stone_duality abstract "In mathematics, there is an ample supply of categorical dualities between certain categories of topological spaces and categories of partially ordered sets. Today, these dualities are usually collected under the label Stone duality, since they form a natural generalization of Stone's representation theorem for Boolean algebras. These concepts are named in honor of Marshall Stone. Stone-type dualities also provide the foundation for pointless topology and are exploited in theoretical computer science for the study of formal semantics.This article gives pointers to special cases of Stone duality and explains a very general instance thereof in detail.".
- Stone_duality wikiPageExternalLink ualg.html.
- Stone_duality wikiPageExternalLink ASD.
- Stone_duality wikiPageID "379619".
- Stone_duality wikiPageLength "15667".
- Stone_duality wikiPageOutDegree "65".
- Stone_duality wikiPageRevisionID "623914522".
- Stone_duality wikiPageWikiLink Adjoint_functors.
- Stone_duality wikiPageWikiLink Bijection.
- Stone_duality wikiPageWikiLink Boolean_algebra_(structure).
- Stone_duality wikiPageWikiLink Boolean_prime_ideal_theorem.
- Stone_duality wikiPageWikiLink Cambridge_University_Press.
- Stone_duality wikiPageWikiLink Category:Duality_theories.
- Stone_duality wikiPageWikiLink Category:Order_theory.
- Stone_duality wikiPageWikiLink Category:Topology.
- Stone_duality wikiPageWikiLink Category_theory.
- Stone_duality wikiPageWikiLink Codomain.
- Stone_duality wikiPageWikiLink Coherent_locale.
- Stone_duality wikiPageWikiLink Coherent_space.
- Stone_duality wikiPageWikiLink Compact_space.
- Stone_duality wikiPageWikiLink Complete_Heyting_algebra.
- Stone_duality wikiPageWikiLink Complete_lattice.
- Stone_duality wikiPageWikiLink Continuous_function.
- Stone_duality wikiPageWikiLink Distributivity_(order_theory).
- Stone_duality wikiPageWikiLink Domain_of_a_function.
- Stone_duality wikiPageWikiLink Dual_(category_theory).
- Stone_duality wikiPageWikiLink Duality_theory_for_distributive_lattices.
- Stone_duality wikiPageWikiLink Empty_set.
- Stone_duality wikiPageWikiLink Equivalence_of_categories.
- Stone_duality wikiPageWikiLink Filter_(mathematics).
- Stone_duality wikiPageWikiLink Function_space.
- Stone_duality wikiPageWikiLink Functor.
- Stone_duality wikiPageWikiLink Hausdorff_space.
- Stone_duality wikiPageWikiLink Homeomorphism.
- Stone_duality wikiPageWikiLink Ideal_(order_theory).
- Stone_duality wikiPageWikiLink If_and_only_if.
- Stone_duality wikiPageWikiLink Image_(mathematics).
- Stone_duality wikiPageWikiLink Infimum_and_supremum.
- Stone_duality wikiPageWikiLink Irreducible_(order_theory).
- Stone_duality wikiPageWikiLink Lattice_(order).
- Stone_duality wikiPageWikiLink Limit-preserving_function_(order_theory).
- Stone_duality wikiPageWikiLink Marshall_Harvey_Stone.
- Stone_duality wikiPageWikiLink Mathematics.
- Stone_duality wikiPageWikiLink Monotonic_function.
- Stone_duality wikiPageWikiLink Natural_transformation.
- Stone_duality wikiPageWikiLink Open_set.
- Stone_duality wikiPageWikiLink Order_embedding.
- Stone_duality wikiPageWikiLink Order_isomorphism.
- Stone_duality wikiPageWikiLink Partially_ordered_set.
- Stone_duality wikiPageWikiLink Pointless_topology.
- Stone_duality wikiPageWikiLink Power_set.
- Stone_duality wikiPageWikiLink Priestley_space.
- Stone_duality wikiPageWikiLink Prime_(order_theory).
- Stone_duality wikiPageWikiLink Semantics_(computer_science).
- Stone_duality wikiPageWikiLink Sober_space.
- Stone_duality wikiPageWikiLink Springer_Science+Business_Media.
- Stone_duality wikiPageWikiLink Stones_representation_theorem_for_Boolean_algebras.
- Stone_duality wikiPageWikiLink Subcategory.
- Stone_duality wikiPageWikiLink Theoretical_computer_science.
- Stone_duality wikiPageWikiLink Topological_space.
- Stone_duality wikiPageWikiLink Trivial_topology.
- Stone_duality wikiPageWikiLink Well-pointed_category.
- Stone_duality wikiPageWikiLinkText "Stone dualities".
- Stone_duality wikiPageWikiLinkText "Stone duality".
- Stone_duality wikiPageWikiLinkText "The duality theorem".
- Stone_duality wikiPageUsesTemplate Template:Cite_book.
- Stone_duality subject Category:Duality_theories.
- Stone_duality subject Category:Order_theory.
- Stone_duality subject Category:Topology.
- Stone_duality hypernym Supply.
- Stone_duality type Ship.
- Stone_duality type Field.
- Stone_duality type Theory.
- Stone_duality comment "In mathematics, there is an ample supply of categorical dualities between certain categories of topological spaces and categories of partially ordered sets. Today, these dualities are usually collected under the label Stone duality, since they form a natural generalization of Stone's representation theorem for Boolean algebras. These concepts are named in honor of Marshall Stone.".
- Stone_duality label "Stone duality".
- Stone_duality sameAs Q7619060.
- Stone_duality sameAs ストーン双対性.
- Stone_duality sameAs m.021f05.
- Stone_duality sameAs Q7619060.
- Stone_duality wasDerivedFrom Stone_duality?oldid=623914522.
- Stone_duality isPrimaryTopicOf Stone_duality.