2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106083The main result is a proof that the g-vector of a simplicial complex with a convex ear decomposition is an M-vector. This is a generalization of similar results for matroid complexes. We also show that a finite building has a convex ear decomposition. This leads to connections between higher Cohen-Macaulay connectivity and increasing h-vectors.To appear in JCT A. 20 pagesCombinatoricsCommutative Algebra05E25; 13F55text