Exponential objects and Cartesian closedness in the construct \textit{Prtop}

DOI10.1007/BF00872940zbMath0796.54019OpenAlexW2131172744MaRDI QIDQ1320339

Gert Sonck, Eva Lowen-Colebunders

Publication date: 28 September 1994

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

Full work available at URL: https://doi.org/10.1007/bf00872940

zbMATH Keywords

reflectionFréchet spaceCartesian closednesspretopological spaceexponential object

Mathematics Subject Classification ID

Topological spaces and generalizations (closure spaces, etc.) (54A05) Categorical methods in general topology (54B30) Closed categories (closed monoidal and Cartesian closed categories, etc.) (18D15)

Related Items (10)

Unnamed Item ⋮ Coreflectively modified duality ⋮ Initially dense objects for metrically generated theories ⋮ Classes of pretopological spaces closed under the formation of final structures ⋮ First-countability, sequentiality and tightness of the upper Kuratowski convergence ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Compatible relations on filters and stability of local topological properties under supremum and product ⋮ Exponentiation for unitary structures ⋮ Unnamed Item

Cites Work

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• POWERS AND EXPONENTIAL OBJECTS IN INITIALLY STRUCTURED CATEGORIES AND APPLICATIONS TO CATEGORIES OF LIMIT SPACES
• Cartesian Closed Topological Hulls
• CARTESIAN CLOSED COREFLECTIVE HULLS
• The Spectral Theory of Distributive Continuous Lattices
• On a topology of convergence

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