Vanishing homology
| dc.creator | Valette, Guillaume | |
| dc.date | 2008-01-14 | |
| dc.date.accessioned | 2026-07-07T08:54:21Z | |
| dc.date.available | 2026-07-07T08:54:21Z | |
| dc.description | In this paper we introduce a new homology theory devoted to the study of families such as semi-algebraic or subanalytic families and in general to any family definable in an o-minimal structure (such as Denjoy-Carleman definable or $ln-exp$ definable sets). The idea is to study the cycles which are vanishing when we approach a special fiber. This also enables us to derive local metric invariants for germs of definable sets. We prove that the homology groups are finitely generated. | |
| dc.identifier | https://arxiv.org/abs/0801.2109 | |
| dc.identifier | http://arxiv.org/abs/0801.2109 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/145902 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14P10, 14P25, 55N20 | |
| dc.title | Vanishing homology | |
| dc.type | text |