The Hauptvermutung proposes the following: if two finite simplicial complexes are homeomorphic then they are PL-homeomorphic, meaning that they have a common refinement.
People are mostly interested in the manifold case but I am asking about the general case. According to Ranicki's Hauptvermutung book the 2-dimensional case was proven by Papakyriakopoulos in a paper written in Greek in Bull. Soc. Math. Grèce. My first question is: is there another more accessible reference for this?
In this paper Edward Brown proves the 3-dimensional case, but the paper is not mentioned in Ranicki's book (and hardly at all in general). My second question is: is there a particular reason for that?
Context: the Hauptvermutung for combinatorial manifolds is known to hold in dimension $\le 3$ by work of Radó and Moise. The Hauptvermutung was shown to be false by Milnor. Today obstructions to being PL-homeomorphic are well understood.