The real numbers - a survey of constructions

• Published in 2015
• Added on 2021-01-06

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.

Links

• http://arxiv.org/abs/1506.03467v1
• http://arxiv.org/pdf/1506.03467v1

Other information

BibTeX entry

@article{Therealnumbersasurveyofconstructions,
	key = {Therealnumbersasurveyofconstructions},
	type = {article},
	title = {The real numbers - a survey of constructions},
	author = {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.},
	comment = {},
	date_added = {2021-01-06},
	date_published = {2015-10-09},
	urls = {http://arxiv.org/abs/1506.03467v1,http://arxiv.org/pdf/1506.03467v1},
	collections = {about-proof,history},
	url = {http://arxiv.org/abs/1506.03467v1 http://arxiv.org/pdf/1506.03467v1},
	year = 2015,
	urldate = {2021-01-06},
	archivePrefix = {arXiv},
	eprint = {1506.03467},
	primaryClass = {math.HO}
}