# Sh:757

• Shelah, S. (2004). Quite complete real closed fields. Israel J. Math., 142, 261–272.
• Abstract:
We prove that any ordered field can be extended to one for which every decreasing sequence, of closed intervals has a non empty intersection.
• Version 2016-04-13_11 (25p) published version (12p)
Bib entry
@article{Sh:757,
author = {Shelah, Saharon},
title = {{Quite complete real closed fields}},
journal = {Israel J. Math.},
fjournal = {Israel Journal of Mathematics},
volume = {142},
year = {2004},
pages = {261--272},
issn = {0021-2172},
mrnumber = {2085719},
mrclass = {12J15 (06F25 12D15 13J25)},
doi = {10.1007/BF02771536},
note = {\href{https://arxiv.org/abs/math/0112212}{arXiv: math/0112212}},
arxiv_number = {math/0112212}
}