Quite complete real closed fields

Saharon Shelah*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

We prove that any ordered field can be extended to one for which every decreasing sequence of bounded closed intervals, of any length, has a nonempty intersection; equivalently, there are no Dedekind cuts with equal cofinality from both sides.

Original languageEnglish
Pages (from-to)261-272
Number of pages12
JournalIsrael Journal of Mathematics
Volume142
DOIs
StatePublished - 2004

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