2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/221923We show that there is an one-to-one correspondence between resolutions (equivariant w.r.t. a Lie groupoid action) of a singular subset of a manifold, and substacks (of a certain type) of the differential stack associated to the Lie groupoid in question. In particular, we show how to build an equivariant resolution out of Lie subgroupoids (of a certain type).29 pagesDifferential Geometry22A22text