Monotone countable paracompactness

DOI10.1016/S0166-8641(98)00128-XzbMath0938.54026OpenAlexW2056426457MaRDI QIDQ1962080

I. S. Stares, Robin W. Knight, Chris Good

Publication date: 18 June 2000

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(98)00128-x

zbMATH Keywords

monotone normality\(\beta\)-spacestratifiabilitywN-space

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Moore spaces (54E30) Stratifiable spaces, cosmic spaces, etc. (54E20)

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Locally upper bounded poset-valued maps and stratifiable spaces ⋮ Monotone cb-spaces ⋮ Locally bounded set-valued mappings and monotone countable paracompactness ⋮ Monotone versions of countable paracompactness ⋮ Closed images of spaces having \(g\)-functions ⋮ Insertion of lattice-valued functions for some topological spaces ⋮ Insertion of semi-continuous functions and sequences of sets ⋮ Covering properties which, under weak diamond principles, constrain the extents of separable spaces ⋮ Interpolating functions ⋮ Symmetric \(g\)-functions ⋮ The D-property of monotone covering properties and related conclusions ⋮ Monotone normality and stratifiability from a pointfree point of view ⋮ Monotone countable paracompactness and maps to ordered topological vector spaces ⋮ Monotone partitions and almost partitions ⋮ Monotone weak Lindelöfness ⋮ Monotonically countably paracompact, collectionwise Hausdorff spaces and measurable cardinals ⋮ k-semistratifiable spaces and expansions of set-valued mappings ⋮ Monotone insertion of semi-continuous maps to ordered topological vector spaces ⋮ The \(\beta\)-space property in monotonically normal spaces and go-spaces ⋮ A method of returning vector-valued maps to real-valued functions on monotone operators ⋮ Monotone meta-Lindelöf spaces ⋮ Monotone versions of \(\delta \)-normality ⋮ A note on monotonically metacompact spaces ⋮ Insertion theorems for some topological spaces by maps to posets ⋮ Expandability and \(s\)-expandability ⋮ Monotone insertion of semi-continuous functions on stratifiable spaces ⋮ Unnamed Item ⋮ Unnamed Item

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