Littlewood's principles in reverse real analysis

DOI10.14321/realanalexch.49.1.1677489725arXiv2302.13660OpenAlexW4390075051MaRDI QIDQ6119156

Rafael Reno S. Cantuba

Publication date: 29 February 2024

Published in: Real Analysis Exchange (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.13660

zbMATH Keywords

Egoroff's theoremordered fieldLusin's theoremcompleteness axiomLittlewood's three principles

Mathematics Subject Classification ID

Foundations: limits and generalizations, elementary topology of the line (26A03) Ordered fields (12J15)

Cites Work

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• \(72+42\): characterizations of the completeness and Archimedean properties of ordered fields
• Real Analysis in Reverse
• Uniformly continuous 1-1 functions on ordered fields not mapping interior to interior
• Toward a More Complete List of Completeness Axioms

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