2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/100900Let F be a nonarchimedean local field and let GL(N) = GL(N,F). We prove the existence of parahoric types for GL(N). We construct representative cycles in all the homology classes of the chamber homology of GL(3).45 pages. v3: minor correctionsK-Theory and HomologyRepresentation Theory46L80; 22E50text