Nonnormality or hereditary paracompactness of some spaces of real functions

DOI10.1016/0166-8641(91)90072-TzbMath0755.54008MaRDI QIDQ1814161

Eric K. van Douwen

Publication date: 25 June 1992

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

zbMATH Keywords

graph topologyCHMAMartin's AxiomLebesgue-measurable functionContinuum HypothesisBaire-measurable functionnonnormal spacenonpseudocompact space

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Subspaces in general topology (54B05) Product spaces in general topology (54B10) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Consistency and independence results in general topology (54A35) Local compactness, (sigma)-compactness (54D45) Separability of topological spaces (54D65)

Related Items (10)

Topology of uniform convergence and \(m\)-topology on \(C(X)\) ⋮ In memoriam: Eric Karl van Douwen (1946-1987) ⋮ Strong Whitney and strong uniform convergences on a bornology ⋮ A generalization of the m-topology on C(X) finer than the m-topology ⋮ Compactness, connectedness and countability properties of \(C(X)\) with the \(r\)-topology ⋮ The \(m\)-topology on \(C_{m}(x)\) revisited ⋮ Connectedness and compactness in \(C(X)\) with the \(m\)-topology and generalized \(m\)-topology ⋮ Note on \(K\)-analyticity and normality in function spaces ⋮ Connectedness of ordered rings of fractions of C(X) with the m-topology ⋮ m-TOPOLOGY ON THE RING OF REAL-MEASURABLE FUNCTIONS

Cites Work

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• Definable forcing axiom: An alternative to Martin's axiom
• Set theory. With an introduction to descriptive set theory. Translation of the original Polish edition. 2nd, completely revised ed
• On the singular cardinals problem. II
• The Dedekind completion of \(C({\mathcal X})\)
• Pseudocompactness and uniform continuity in topological groups
• The box product of countably many metrizable spaces need not be normal
• More Paracompact Box Products
• Remainders of Locally Cech-complete Spaces and Homogeneity
• On a Class of Countably Paracompact Spaces
• Approximation in Systems of Real-Valued Continuous Functions
• Approximation of Real Continuous Functions of Lindelof Spaces
• Estimates for the Number of Real-Valued Continuous Functions
• A normal space X for which X×I is not normal
• The box product of countably many compact metric spaces
• An exact sequence in differential topology
• BOX TOPOLOGIES
• Rings of Real-Valued Continuous Functions. I
• On a Theorem of Gelfand and Kolmogoroff Concerning Maximal Ideals in Rings of Continuous Functions
• On ideals in rings of continuous functions

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