2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76368Consider the poset of partitions of {1,...(n-1)k+1} with block sizes congruent to 1 modulo k. We prove that its order complex is a subdivision of the complex of k-trees, thereby answering a question posed by Feichtner. The result is obtained by an ad-hoc generalization of concepts from the theory of nested set complexes to non-lattices.9 pages, 1 figureCombinatorics05E25; 57Q05text