Optimal subcategories and Stone-Weierstrass

DOI10.1016/0166-8641(87)90104-0zbMath0641.46050OpenAlexW2004312849MaRDI QIDQ1100700

Louis D. Nel

Publication date: 1987

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(87)90104-0

zbMATH Keywords

topological algebraStone-Weierstrassupgradingextremal monomorphismcomplete and separated algebrasdualizing objectoptimal subcategory

Mathematics Subject Classification ID

Algebraic properties of function spaces in general topology (54C40) Theories (e.g., algebraic theories), structure, and semantics (18C10) Topological algebras, normed rings and algebras, Banach algebras (46H99) Enriched categories (over closed or monoidal categories) (18D20) Methods of category theory in functional analysis (46M99)

Related Items (4)

Unnamed Item ⋮ Semi-intial and semi-finalV-functors¹ ⋮ INTRINSIC FUNCTIONAL ANALYSIS OF SEQUENTIAL CONVERGENCE SPACES ⋮ Unnamed Item

Cites Work

• Limesräume
• Enriched locally convex structures, differential calculus and Riesz representation
• Universal topological algebra needs closed topological categories
• Continuous convergence on C(X)
• Duality theorems for algebras in convenient categories
• Every topological category is convenient for Gelfand duality
• Über die \(c\)-Reflexivität von \({\mathcal C}_c(X)\)
• Der Satz von Stone-Weierstrass in c(X) und seine Anwendungen auf die Darstellungstheorie von Limesalgebren
• Regular Categories and Regular Functors
• Limesräume und Komplettierung
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