O-minimal fields with standard part map
| dc.creator | Maříková, Jana | |
| dc.date | 2009-01-15 | |
| dc.date.accessioned | 2026-07-07T12:30:36Z | |
| dc.date.available | 2026-07-07T12:30:36Z | |
| dc.description | Let R be an o-minimal field and V a proper convex subring with residue field k and standard part (residue) map st: V \to k. Let k_{ind} be the expansion of k by the standard parts of the definable relations in R. We investigate the definable sets in k_{ind} and conditions on (R,V) which imply o-minimality of k_{ind}. We also show that if R is omega-saturated and V is the convex hull of the rationals in R, then the sets definable in k_{ind} are exactly the standard parts of the sets definable in (R,V). | |
| dc.identifier | https://arxiv.org/abs/0901.2337 | |
| dc.identifier | http://arxiv.org/abs/0901.2337 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/216175 | |
| dc.subject | Logic | |
| dc.subject | 03C64 | |
| dc.title | O-minimal fields with standard part map | |
| dc.type | text |