Nilpotent pseudogroups of functions on an interval
| dc.creator | Begazo, Tania M. | |
| dc.creator | Saldanha, Nicolau C. | |
| dc.date | 2004-04-07 | |
| dc.date | 2004-11-22 | |
| dc.date.accessioned | 2026-07-07T05:07:15Z | |
| dc.date.available | 2026-07-07T05:07:15Z | |
| dc.description | A near-identity nilpotent pseudogroup of order m >= 1 is a family f_1, ..., f_n: (-1,1) -> R of C^2 functions for which: |f_i - id|_{C^1} < epsilon for some small positive real number epsilon < 1/10^{m+1} and commutators of the functions f_i of order at least m equal the identity. We present a classification of near-identity nilpotent pseudogroups: our results are similar to those of Plante, Thurston, Farb and Franks for nilpotent groups. As an application, we classify certain foliations of nilpotent manifolds. | |
| dc.description | 13 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/math/0404157 | |
| dc.identifier | http://arxiv.org/abs/math/0404157 | |
| dc.identifier | Bull Braz Math Soc, New Series 36(1), 25-38 (2005) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70788 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Geometric Topology | |
| dc.subject | 37E05; 37E45; 57S25; 57R30 | |
| dc.title | Nilpotent pseudogroups of functions on an interval | |
| dc.type | text |