Littlewood's Principles in Reverse Real Analysis

Rafael Reno S. Cantuba

doi:10.14321/realanalexch.49.1.1677489725

Abstract

If local forms of Littlewood's three principles are stated as axioms for an ordered field, then each principle is equivalent to the completeness axiom.

Citation

Download Citation

Rafael Reno S. Cantuba. "Littlewood's Principles in Reverse Real Analysis." Real Anal. Exchange 49 (1) 111 - 122, 2024. https://doi.org/10.14321/realanalexch.49.1.1677489725

Information

Published: 2024

First available in Project Euclid: 23 February 2024

Digital Object Identifier: 10.14321/realanalexch.49.1.1677489725

Subjects:

Primary: 26A20

Secondary: 12J15 , 26A03

Keywords: completeness axiom , Egoroff's theorem , Littlewood's three principles , Lusin's theorem , ordered field

Abstract

Citation

Information

KEYWORDS/PHRASES

PUBLICATION TITLE:

PUBLICATION YEARS