POWERS AND EXPONENTIAL OBJECTS IN INITIALLY STRUCTURED CATEGORIES AND APPLICATIONS TO CATEGORIES OF LIMIT SPACES

DOI10.1080/16073606.1983.9632302zbMath0521.54006OpenAlexW2003012368MaRDI QIDQ3670143

Friedhelm Schwarz

Publication date: 1983

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/16073606.1983.9632302

zbMATH Keywords

exponential objectsinitially structured categoriescartesian closedness of topological categoriesepireflective subcategories of the category of limit spaces

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Categorical methods in general topology (54B30) Closed categories (closed monoidal and Cartesian closed categories, etc.) (18D15)

Related Items (19)

Cartesian closed extensions of the category of uniform spaces ⋮ Unnamed Item ⋮ Comparing Cartesian closed categories of (core) compactly generated spaces ⋮ Coreflectively modified duality ⋮ CARTESIAN CLOSEDNESS AND THE MCNEILLE COMPLETION OF AN INITIALLY STRUCTURED CATEGORY ⋮ INITIAL COMPLETIONS OF MONOTOPOLOGICAL CATEGORIES, AND CARTESIAN CLOSEDNESS ⋮ Initially dense objects for metrically generated theories ⋮ Splitting and conjoining objects in monotopological categories ⋮ NOW MANY INITIAL COMPLETIONS DOES A MONOTOPOLOGICAL CATEGORY HAVE? ⋮ Classes of pretopological spaces closed under the formation of final structures ⋮ General function spaces, products and continuous lattices ⋮ HEREDITARY TOPOLOGICAL CATEGORIES AND TOPOLOGICAL UNIVERSES ⋮ On the multitude of monoidal closed structures on \(\mathcal{UAP}\). ⋮ POWER-OBJECTS IN MONOTOPOLOGICAL CATEGORIES ⋮ Convergence ⋮ Exponential \(Q\)-topological spaces ⋮ Topological continuous convergence ⋮ Cartesian closed topological and monotopological hulls: A comparison ⋮ Exponential objects and Cartesian closedness in the construct \textit{Prtop}

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• Initially Structured Categories and Cartesian Closedness
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• CARTESIAN CLOSED COREFLECTIVE HULLS
• Regular completions of uniform convergence spaces
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