Survey article: the real numbers - a survey of constructions

Ittay Weiss*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)737-762
Number of pages26
JournalRocky Mountain Journal of Mathematics
Issue number3
Publication statusPublished - 21 Aug 2015


  • Constructions of real numbers
  • Real numbers


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