Cuts in hyperfinite time lines. (English) Zbl 0770.03022
In their foundational papers, Loeb introduced a measure on each \(\omega_ 1\)-saturated model of arithmetic, and Keisler and Leth a \(U\)- topology (given a cut \(U\) in this nonstandard model). This paper contains theorems about the existence of cuts with certain measure-theoretic and categorical properties, as well as with certain cofinalities and coinitialities.
Reviewer: R.S.Lubarsky (Lancaster)
MSC:
| 03H15 | Nonstandard models of arithmetic |
Keywords:
Loeb measure; Keisler-Leth \(U\)-topology; category; \(\omega_ 1\)- saturated model of arithmetic; existence of cuts; cofinalities; coinitialitiesReferences:
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