Topological Spaces and Lattices of Lower Semicontinuous Functions

DOI10.2307/1996648zbMath0238.54012OpenAlexW4252220632MaRDI QIDQ5649088

Melvin C. Thornton

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/1996648

Mathematics Subject Classification ID

Topological spaces and generalizations (closure spaces, etc.) (54A05) Real-valued functions in general topology (54C30)

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Cites Work

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• Characterizations of the algebra of all real-valued continuous functions on a completely regular space
• Lattices of lower semi-continuous functions and associated topological spaces
• On the Representations of an Abstract Lattice as the Family of Closed Sets of a Topological Space
• On a Reflective Subcategory of the Category of all Topological Spaces
• Epireflections in the category of $T_0$-spaces