2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70788A 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.13 pages, no figuresDynamical SystemsGeometric Topology37E05; 37E45; 57S25; 57R30Nilpotent pseudogroups of functions on an intervaltext