2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106142We prove that the weak order on an infinite Coxeter group contains infinite antichains if and only if the group is not affine.7 pages; minor revisions, to appear in Ark MatCombinatoricsGroup Theory20F55; 06A07The finite antichain property in Coxeter groupstext