2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/112772We study the number of Darboux charts needed to cover a closed connected symplectic manifold $(M,ω)$, and effectively estimate this number from below and from above in terms of the Lusternik--Schnirelmann category of $M$ and the Gromov width of $(M,ω)$.43 pages, 21 figuresSymplectic GeometryGeometric Topology53D35text