Quantitative study of semi-Pfaffian sets
| dc.creator | Zell, Thierry | |
| dc.date | 2004-01-08 | |
| dc.date.accessioned | 2026-07-07T05:04:26Z | |
| dc.date.available | 2026-07-07T05:04:26Z | |
| dc.description | We study the topological complexity of sets defined using Khovanskii's Pfaffian functions, in terms of an appropriate notion of format for those sets. We consider semi- and sub-Pfaffian sets, but more generally any definable set in the o-minimal structure generated by the Pfaffian functions, using the construction of that structure via Gabrielov's notion of limit sets. All the results revolve around giving effective upper-bounds on the Betti numbers (for the singular homology) of those sets. Keywords: Pfaffian functions, fewnomials, o-minimal structures, tame topology, spectral sequences, Morse theory. | |
| dc.description | Author's PhD thesis. Approx. 130 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/math/0401079 | |
| dc.identifier | http://arxiv.org/abs/math/0401079 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69805 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Logic | |
| dc.subject | 14P99 (Primary) 03C98 (Secondary) | |
| dc.title | Quantitative study of semi-Pfaffian sets | |
| dc.type | text |