CARTESIAN CLOSEDNESS, EXPONENTIALITY, AND FINAL HULLS IN PSEUDOTOPOLOGICAL SPACES

DOI10.1080/16073606.1982.9632270zbMath0521.54005OpenAlexW1972873690MaRDI QIDQ3670142

Friedhelm Schwarz

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1080/16073606.1982.9632270

zbMATH Keywords

exponential objectscategory of limit spacesCartesian closed topological categorycategory of pretopological spacescategory of pseudotopological spaces

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Categorical methods in general topology (54B30) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15)

Related Items

A Cartesian closed topological category of sequential spaces, Classes of pretopological spaces closed under the formation of final structures, HEREDITARY TOPOLOGICAL CATEGORIES AND TOPOLOGICAL UNIVERSES, Some open categorical problems in Top, Are there convenient subcategories of Top?, Exponential objects and Cartesian closedness in the construct \textit{Prtop}

Cites Work

• Limesräume
• Initial morphisms and monomorphisms
• Semi-universal maps and universal initial completions
• On equicontinuity and continuous convergence
• Das Halbordnungssystem der topologischen Räume auf einer Menge
• A topology for spaces of transformations
• DECOMPOSITION SPACES AND SEPARATION PROPERTIES
• Indexed Systems of Neighborhoods for General Topological Spaces
• Initially Structured Categories and Cartesian Closedness
• CARTESIAN CLOSED COREFLECTIVE HULLS
• Topological functors
• A note on complete closure algebras
• Limesräume und Komplettierung
• On topologies for function spaces