Survey Article: The real numbers–A survey of constructions
Ittay Weiss · Rocky Mountain Journal of Mathematics · 2015
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.