We demonstrate the triangulability of compact 3–dimensional topological pseudomanifolds and study the properties of such triangulations, including the Hauptvermutung and relations by Alexander star moves and Pachner bistellar moves. We also provide an application to state-sum invariants of 3–dimensional topological pseudomanifolds.
"Triangulations of 3–dimensional pseudomanifolds with an application to state-sum invariants." Algebr. Geom. Topol. 4 (1) 521 - 542, 2004. https://doi.org/10.2140/agt.2004.4.521