On a generalization of perfectly normal spaces

DOI10.1016/0166-8641(82)90003-7zbMath0486.54013OpenAlexW2166058298MaRDI QIDQ1164876

A. Ch. Chigogidze

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0166-8641(82)90003-7

zbMATH Keywords

inductive dimensionsperfectly normal spacesG-delta-subset of the Cantor cubek-metrizabilityperfectly k-normal spacesquasi-perfectly normal spaceStone-Cech compactification of the real linestrongly zero-dimensional subsetz-embedded subset

Mathematics Subject Classification ID

Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Product spaces in general topology (54B10) Dimension theory in general topology (54F45) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Topology of special sets defined by functions (54C50)

Related Items (6)

Spaces with an Oz Stone-Čech compactification ⋮ Functional extenders and set-valued retractions ⋮ Around the equality ind\(X\)=Ind\(X\) towards a unifying theorem ⋮ On strong cellularity type properties of Lindelöf groups ⋮ Set-valued maps and \(AE(0)\)-spaces ⋮ On inverse systems and cardinal functions of topological spaces

Cites Work

• A note on zero-sets in the Stone-Čech compactification
• Spaces in Which Special Sets are z-Embedded
• On the dimension of increments of Tychonoff spaces
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