Lattice-valued Hahn-Dieudonné-Tong insertion theorem and stratification structure

DOI10.1016/0166-8641(92)90003-IzbMath0767.54016MaRDI QIDQ1198629

Ying-Ming Liu, Mao-Kang Luo

Publication date: 16 January 1993

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

zbMATH Keywords

stratification structurecompletely distribution lawHahn-Dieudonné- Tong Insertion Theoremlattice-valued (lower) semicontinuous mappingslatticed-valued inserting mappingsnormality of induced spaces

Mathematics Subject Classification ID

Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Counterexamples in general topology (54G20) Lattices (06B99) Stratifications in topological manifolds (57N80)

Related Items (6)

Insertion of lattice-valued and hedgehog-valued functions ⋮ Insertion of poset-valued maps with the way-below and -above relations ⋮ Insertion and extension theorems for lattice-valued functions on preordered topological spaces ⋮ Insertion of lattice-valued functions for some topological spaces ⋮ Monotone insertion of lattice-valued functions ⋮ The relation of Banach--Alaoglu theorem and Banach--Bourbaki--Kakutani--Šmulian theorem in complete random normed modules to stratification structure

Cites Work

• The N-compactness in L-fuzzy topological spaces
• A Stone-Cech ultrafuzzy compactification
• Fuzzy topology. II: Product and quotient spaces
• Initial and final fuzzy topologies and the fuzzy Tychonoff theorem
• Fuzzy-Stone-Čech-type compactifications
• Some characterizations of normal and perfectly normal spaces
• Une généralisation des espaces compacts
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