Insertion of lattice-valued and hedgehog-valued functions

DOI10.1016/j.topol.2005.04.008zbMath1094.54009OpenAlexW2051110820MaRDI QIDQ820101

Javier Gutiérrez García, María Angeles de Prada Vicente, Tomasz Kubiak

Publication date: 6 April 2006

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

Full work available at URL: https://doi.org/10.1016/j.topol.2005.04.008

zbMATH Keywords

normalitylower semicontinuouscompletely distributive latticeupper semicontinuousextremal disconnectednesshereditary normalitylower limit functionraney relationupper limit function

Mathematics Subject Classification ID

Complete distributivity (06D10) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Extremally disconnected spaces, (F)-spaces, etc. (54G05) Maps and general types of topological spaces defined by maps (54C99)

Related Items (15)

Unified representability of total preorders and interval orders through a single function: the lattice approach ⋮ Textures and \(C\)-spaces ⋮ Insertion of poset-valued maps with the way-below and -above relations ⋮ On the parallel between normality and extremal disconnectedness ⋮ Insertion and extension theorems for lattice-valued functions on preordered topological spaces ⋮ Frame presentations of compact hedgehogs and their properties ⋮ Insertion of lattice-valued functions for some topological spaces ⋮ Pointfree forms of Dowker's and Michael's insertion theorems ⋮ Monotone insertion of lattice-valued functions ⋮ General insertion and extension theorems for localic real functions ⋮ On lattice-valued frames: the completely distributive case ⋮ Localic real functions: A general setting ⋮ An extension of the fuzzy unit interval to a tensor product with completely distributive first factor ⋮ Insertion theorems for some topological spaces by maps to posets ⋮ \(L\)-fuzzy syntopogenous structures. I: Fundamentals and application to \(L\)-fuzzy topologies, \(L\)-fuzzy proximities and \(L\)-fuzzy uniformities

Cites Work

• L-fuzzy normal spaces and Tietze extension theorem
• Upper semicontinuous fuzzy sets and applications
• Analytic and topological characterizations of completely distributive law
• Lattice-valued Hahn-Dieudonné-Tong insertion theorem and stratification structure
• Monotone insertion of continuous functions
• Some characterizations of normal and perfectly normal spaces
• Indefinite Cut Sets for Real Functions
• A Sufficient Condition for the Insertion of a Continuous Function
• Boundedness Properties in Function-Lattices
• Correction to "On real-valued functions in topological spaces"
• A Subdirect-Union Representation for Completely Distributive Complete Lattices
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