Quite Complete Real Closed fields

Details Quite Complete Real Closed fields Quite Complete Real Closed fields

Publishing date

2001-12-20

URL

arxiv.org/abs/math/0112212v4

Journals

Israel Journal of Mathematics 142 (2004): 261-272

Science

Mathematics

Field

Logic

Type

Scientific paper

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.
This version of the paper (and the result) is substantially improved in
comparison to the published version.

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