scientific article; zbMATH DE number 1156707

zbMath0898.20045MaRDI QIDQ4390741

Ales Pultr, Jiří Sichler

Publication date: 27 August 1998

Full work available at URL: http://www.numdam.org/item?id=CTGDC_1998__39_1_63_0

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zbMATH Keywords

endomorphism monoidsconcrete categories with forgetful functorsconcrete sumsHausdorff categoriesHausdorff Heyting algebras and complete Heyting homomorphismsHausdorff spaces and open continuous mappingsPriestley spaces and continuous order preserving mappingssymmetric directed graphs and strong homomorphisms

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Transformation groups and semigroups (topological aspects) (54H15) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Heyting algebras (lattice-theoretic aspects) (06D20) Categorical methods in general topology (54B30) Lower separation axioms ((T_0)--(T_3), etc.) (54D10) Directed graphs (digraphs), tournaments (05C20) Connections of semigroups with homological algebra and category theory (20M50) Representation of semigroups; actions of semigroups on sets (20M30)

Cites Work

• Variants of openness
• Endomorphisms of complete Heyting algebras
• Any boundable binding category contains a proper class of mutually disjoint copies of itself
• An extension of the Galois theory of Grothendieck
• Ordered Topological Spaces and the Representation of Distributive Lattices
• Representation of Distributive Lattices by means of ordered Stone Spaces
• Atomless Parts of Spaces.
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