2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74427We study the gordian graph of all knots in $\R^3$: two knots are adjacent if they differ by a single crossing change. We prove that this graph contains isometrically an infinite countable tree with infinite valency, and that the complement of any finite subset is connected.6 pages, 6 figuresGeometric Topology57M27text