Affine algebraic sets relative to an algebraic theory
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Publication:1299935
DOI10.1007/BF01228678zbMath0931.18008MaRDI QIDQ1299935
Publication date: 29 February 2000
Published in: Journal of Geometry (Search for Journal in Brave)
dualityalgebraic theoryGalois theoryNullstellensatzalgebraic setsaffine algebraic geometryaffine setgeometrical categories
Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Separable extensions, Galois theory (12F10) Equational categories (18C05) Categories in geometry and topology (18F99) Relevant commutative algebra (14A05)
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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 ⋮ General affine adjunctions, Nullstellensätze, and dualities ⋮ 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 ⋮ Topological geometrical categories ⋮ Characterization of a category for monoidal topology ⋮ Many for the price of one duality principle for affine sets ⋮ OnQ-sobriety ⋮ Finitely coordinated and finitely copresentable affine algebraic sets
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