Type Two Cuts, Bad Cuts and Very Bad Cuts
| dc.creator | Jin, R. | |
| dc.date | 1996-04-24 | |
| dc.date.accessioned | 2026-07-07T09:15:28Z | |
| dc.date.available | 2026-07-07T09:15:28Z | |
| dc.description | Type two cuts, bad cuts and very bad cuts are introduced by Keisler and Leth for studying the relationship between Loeb measure and U-topology of a hyperfinite time line in an $ω_1$-saturated nonstandard universe. The questions concerning the existence of those cuts are asked there. In this paper we answer, fully or partially, some of those questions by showing that: (1) type two cuts exist in any nonstandard model of Peano Arithmetic, (2) the $\aleph_1$-isomorphism property implies that bad cuts exist, but no bad cuts are very bad. | |
| dc.identifier | https://arxiv.org/abs/math/9604210 | |
| dc.identifier | http://arxiv.org/abs/math/9604210 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153031 | |
| dc.subject | Logic | |
| dc.title | Type Two Cuts, Bad Cuts and Very Bad Cuts | |
| dc.type | text |