The real numbers - a survey of constructions

Authors: Ittay Weiss

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.

Submitted to arXiv on 18 May. 2015

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