INITIAL COMPLETIONS OF MONOTOPOLOGICAL CATEGORIES, AND CARTESIAN CLOSEDNESS

DOI10.1080/16073606.1985.9631924zbMath0594.18009OpenAlexW2004191301MaRDI QIDQ3724522

I. W. Alderton

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1080/16073606.1985.9631924

zbMATH Keywords

MacNeille completionCartesian closedmonotopological categoriesinitial completionc-category

Mathematics Subject Classification ID

Categories admitting limits (complete categories), functors preserving limits, completions (18A35) Closed categories (closed monoidal and Cartesian closed categories, etc.) (18D15)

Related Items (7)

Splitting and conjoining objects in monotopological categories ⋮ NOW MANY INITIAL COMPLETIONS DOES A MONOTOPOLOGICAL CATEGORY HAVE? ⋮ Closure categories ⋮ POWER-OBJECTS IN MONOTOPOLOGICAL CATEGORIES ⋮ Function spaces in fuzzy topology ⋮ ON CERTAIN INITIAL COMPLETIONS IN FUZZY TOPOLOGY ⋮ Exponential \(Q\)-topological spaces

Cites Work

• Semi-universal maps and universal initial completions
• POWERS AND EXPONENTIAL OBJECTS IN INITIALLY STRUCTURED CATEGORIES AND APPLICATIONS TO CATEGORIES OF LIMIT SPACES
• CARTESIAN CLOSEDNESS AND THE MCNEILLE COMPLETION OF AN INITIALLY STRUCTURED CATEGORY
• Initially Structured Categories and Cartesian Closedness
• Topological functors

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