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 language | English |
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Pages (from-to) | 261-272 |
Number of pages | 12 |
Journal | Israel Journal of Mathematics |
Volume | 142 |
DOIs | |
State | Published - 2004 |