Categories of algebraic sets

DOI10.1007/BF00122260zbMath0859.18006MaRDI QIDQ1923807

Yves Diers

Publication date: 13 October 1996

Published in: Applied Categorical Structures (Search for Journal in Brave)

zbMATH Keywords

algebraic theoryZariski closurealgebraic setsdual adjunctionconcrete duality

Mathematics Subject Classification ID

Special categories (18B99) Theories (e.g., algebraic theories), structure, and semantics (18C10) Foundations of algebraic geometry (14A99)

Related Items (17)

Productivity of Zariski-compactness for constructs of affine spaces ⋮ The fundamental group as the structure of a dually affine space ⋮ Affine sets: the structure of complete objects and duality ⋮ Sierpinski object for affine systems ⋮ Topological systems as a framework for institutions ⋮ Sierpinski object for composite affine spaces ⋮ A characterization of the category \(Q\)-\(\mathbf{TOP}\) ⋮ SOME RESULTS AND PROBLEMS RELATED TO UNIVERSAL ALGEBRAIC GEOMETRY ⋮ A topologist's view of Chu spaces ⋮ Sobriety and spatiality in categories of lattice-valued algebras ⋮ Spaces modelled by an algebra on \([0,\infty \) and their complete objects] ⋮ Stratified categorical fixed-basis fuzzy topological spaces and their duality ⋮ Zariski closure, completeness and compactness ⋮ Characterization of a category for monoidal topology ⋮ Many for the price of one duality principle for affine sets ⋮ Seven lectures on universal algebraic geometry ⋮ Affine algebraic sets relative to an algebraic theory

Cites Work

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• Duality in analysis from the point of view of triples

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