The topology of close approximation

DOI10.1016/0166-8641(90)90111-EzbMath0715.54007OpenAlexW2167715569WikidataQ106043543 ScholiaQ106043543MaRDI QIDQ752525

Eric K. van Douwen, A. H. Stone

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0166-8641(90)90111-e

zbMATH Keywords

Baire spacesuniform topologyLebesgue measurable real-valued functionsLusin topologytopology of close approximation

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Baire category, Baire spaces (54E52) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Functions of one variable (26A99)

Related Items (2)

Spectral representation of generalized transition kernels ⋮ A ``planar representation for generalized transition kernels

Cites Work

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• Expressing measurable functions by one-one ones
• Metrizability of Decomposition Spaces
• Closed mappings and metric spaces
• The Divergence Theorem
• The box product of countably many metrizable spaces need not be normal
• More Paracompact Box Products
• A Riemann-Type Integral of Lebesgue Power
• Rings of Real-Valued Continuous Functions. I
• On a Theorem of Gelfand and Kolmogoroff Concerning Maximal Ideals in Rings of Continuous Functions

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