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| | [JiSh:626] (Site not responding. Last check: 2007-10-17) |
 | | In \S 1 we show that, assuming the consistency of a supercompact cardinal, there may exist an ultrapower of $\omega$, whose cardinality is (1) a singular strong limit cardinal, (2) a strongly inaccessible cardinal. |
 | | In \S 2 we construct several $\lambda$-Archimedean ultrapowers of $\omega$ under some large cardinal assumptions. |
 | | For example, we show that, assuming the consistency of a measurable cardinal, there may exist a $\lambda$-Archimedean ultrapower of $\omega$ for some uncountable cardinal $\lambda$. |
| www.math.rutgers.edu /pub/shelah/abstracts/626.html (115 words) |
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