Survey article: the real numbers - a survey of constructions

Ittay Weiss

doi:10.1216/RMJ-2015-45-3-737

Survey article: the real numbers - a survey of constructions

Ittay Weiss^*

^*Corresponding author for this work

University of the South Pacific

Research output: Contribution to journal › Article › peer-review

Abstract

We present a comprehensive survey of constructions of the real numbers (from either the rationals or the integers) in a unified fashion, thus providing an overview of most (if not all) known constructions ranging from the earliest attempts to recent results, and allowing for a simple comparison-at-a-glance between different constructions.

Original language	English
Pages (from-to)	737-762
Number of pages	26
Journal	Rocky Mountain Journal of Mathematics
Volume	45
Issue number	3
DOIs	https://doi.org/10.1216/RMJ-2015-45-3-737
Publication status	Published - 21 Aug 2015

Keywords

Constructions of real numbers
Real numbers

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10.1216/RMJ-2015-45-3-737

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abstract = "We present a comprehensive survey of constructions of the real numbers (from either the rationals or the integers) in a unified fashion, thus providing an overview of most (if not all) known constructions ranging from the earliest attempts to recent results, and allowing for a simple comparison-at-a-glance between different constructions.",

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Survey article: the real numbers - a survey of constructions

Abstract

Keywords

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