2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/163670Notions of sesquiconstructible complexes and odd iterated stellar subdivisions are introduced, and some of their basic properties are verified. The Charney-Davis conjecture is then proven for odd iterated stellar subdivisions of sesquiconstructible balls and spheres.Combinatorics05A20; 52B05; 52B22The Charney-Davis conjecture for certain subdivisions of spherestext