Normal P-spaces and the $G_δ $-topology

DOI10.4064/cm-44-2-227-240zbMath0496.54034OpenAlexW1496990135MaRDI QIDQ3961487

Ronnie Levy, Michael D. Rice

Publication date: 1981

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm-44-2-227-240

zbMATH Keywords

densitypseudocompact spaceHewitt realcompactificationcollectionwise normalityP-spacesBaire topology of a Tikhonov spacecompletely additive disjoint Baire familycountinuous real-valued countable imagenormality in P-spacespreservation of paracompactness and Lindelöf degree by the Baire topology of scattered spaces

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Categorical methods in general topology (54B30) Special properties of topological spaces (54F99) (P)-spaces (54G10)

Related Items (14)

Unnamed Item ⋮ Some thoughts on countable Lindelöf products ⋮ Topological properties of some function spaces ⋮ Tychonoff spaces and a ring theoretic order on \(C(X)\) ⋮ On \(P\)-spaces and \(G_{\delta}\)-sets in the absence of the axiom of choice ⋮ \(G_{\delta}\) covers of compact spaces ⋮ The \(P\)-frame reflection of a completely regular frame ⋮ On generalization of theorems of Pestryakov ⋮ \(C(X)\) versus its functionally countable subalgebra ⋮ One more topological equivalent of CH ⋮ Cardinal Invariants for the $G_\delta $ topology ⋮ Projective versions of selection principles ⋮ On countably uniform closed-spaces ⋮ On a class of pseudocompact spaces derived from ring epimorphisms

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