Not every metrizable compactum is the limit of an inverse sequence with simplicial bonding maps

It is shown that not every metrizable compactum can be written as the inverse limit of an inverse sequence of finite triangulated polyhedra with simplicial bonding maps. This result came from a correspondence between Sibe Mardesic and Leonard R. Rubin, who has provided the Introduction below, and who with some suggestions from Sime Ungar and Vera Tonic, has edited the proof that was communicated to him by Sibe Mardesic. It will be found as Corollary 2.2 .