Postclassical families of functions proper for descriptive and prescriptive spaces

DOI10.1007/s10958-017-3231-9zbMath1384.28005OpenAlexW2576429684MaRDI QIDQ1708243

Timofey V. Rodionov, Alexander V. Mikhalev, Valeriy K. Zakharov

Publication date: 5 April 2018

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-017-3231-9

Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05)

Cites Work

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• New classes of functions related to general families of sets
• A class of uniform functions and its relationship with the class of measurable functions
• Characterization of Radon integrals as linear functionals
• Naturalness of the class of Lebesgue-Borel-Hausdorff measurable functions
• Characterization of the space of Riemann integrable functions by means of cuts of the space of continuous functions. II
• The Riesz-Radon-Fréchet problem of characterization of integrals
• Some Characterizations of Sets of Measurable Functions
• Extensions of the ring of continuous functions generated by regular, countably-divisible, complete rings of quotients, and their corresponding pre-images
• The problem of general Radon representation for an arbitrary Hausdorff space
• The problem of general Radon representation for an arbitrary Hausdorff space. II
• CONNECTIONS BETWEEN THE LEBESGUE EXTENSION AND THE BOREL EXTENSION OF THE FIRST CLASS, AND BETWEEN THE PREIMAGES CORRESPONDING TO THEM
• Applications of the Theory of Boolean Rings to General Topology

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