Insertion theorems for countably paracompact frames and stratifiable frames

DOI10.1016/J.TOPOL.2021.107736zbMath1496.06013OpenAlexW3164772008WikidataQ113862546 ScholiaQ113862546MaRDI QIDQ2042099

Er-Guang Yang

Publication date: 28 July 2021

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

Full work available at URL: https://doi.org/10.1016/j.topol.2021.107736

zbMATH Keywords

framesframe of realssemi-continuitycountable paracompactnessstratifiabilitylocalic real functions

Mathematics Subject Classification ID

Weak and generalized continuity (54C08) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Frames, locales (06D22) Stratifiable spaces, cosmic spaces, etc. (54E20)

Cites Work

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• Insertion of semi-continuous functions and sequences of sets
• Continuous selections. I
• On the algebraic representation of semicontinuity
• Pointfree forms of Dowker's and Michael's insertion theorems
• Localic real functions: A general setting
• Perfect locales and localic real functions
• Monotone normality and stratifiability from a pointfree point of view
• A new look at localic interpolation theorems
• On stratifiable spaces
• Some characterizations of normal and perfectly normal spaces
• Frames and Locales
• Countable Paracompactness and Weak Normality Properties
• On Countably Paracompact Spaces

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