A new look at localic interpolation theorems

DOI10.1016/j.topol.2004.10.022zbMath1104.06007OpenAlexW1964459556MaRDI QIDQ2508938

Jorge Picado

Publication date: 20 October 2006

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10316/4615

zbMATH Keywords

frameslocalesframe of realscontinuous real functionsnormal framesupper (lower) frame of realsupper (lower) semicontinuous real functions

Mathematics Subject Classification ID

Frames, locales (06D22) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Real-valued functions in general topology (54C30)

Related Items (11)

On the algebraic representation of semicontinuity ⋮ Pointfree forms of Dowker's and Michael's insertion theorems ⋮ Monotone insertion and monotone extension of frame homomorphisms ⋮ Insertion of continuous real functions on spaces, bispaces, ordered spaces and pointfree spaces -- a common root ⋮ Insertion theorems for countably paracompact frames and stratifiable frames ⋮ Localic real functions: A general setting ⋮ Completely normal frames and real-valued functions ⋮ A Boolean extension of a frame and a representation of discontinuity ⋮ Gelfand-Naimark-Stone duality for normal spaces and insertion theorems ⋮ Uniform continuity of pointfree real functions via farness and related Galois connections ⋮ A New Approach to the Katětov–Tong Theorem

Cites Work

• Some characterizations of normal and perfectly normal spaces
• C- and C^*-quotients in pointfree topology
• Correction to "On real-valued functions in topological spaces"
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