We utilize the obstruction theory of Galewski–Matumoto–Stern to derive equivalent formulations of the Triangulation Conjecture. For example, every closed topological manifold with can be simplicially triangulated if and only if the two distinct combinatorial triangulations of are simplicially concordant.
"Equivalences to the triangulation conjecture." Algebr. Geom. Topol. 2 (2) 1147 - 1154, 2002. https://doi.org/10.2140/agt.2002.2.1147