A theorem of Nagata on lattices of semicontinuous functions

DOI10.1007/BF00971389zbMath0693.06007MaRDI QIDQ584295

L. I. Kalmutskij, Mitrofan M. Choban

Publication date: 1989

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

\(T_ 1\)-spacelattice of semicontinuous functions

Mathematics Subject Classification ID

Weak and generalized continuity (54C08) Lattices (06B99)

Related Items

Specification of topological spaces by algebraic systems of continuous functions

Cites Work

• Ideals of semi-continuous functions and compactifications of \(T_ 1\) spaces
• Lattices of lower semicontinuous functions and associated topological spaces
• On the Equivalence of the Ring, Lattice, and Semigroup of Continuous Functions
• Epireflections in the category of $T_0$-spaces
• Applications of the Theory of Boolean Rings to General Topology
• Lattices of continuous functions
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