Cohomological pseudomanifolds (Q1187250)

The author defines the notion of a cohomological \(n\)-pseudomanifold (\(n\)- cpm) by an axiomatic approach, and he proves some properties of \(n\)-cpm. Among them, there is the property that every \(n\)-cpm is cohomologically \(n\)-dimensional. All the other properties of \(n\)-cpm proven in the paper are in terms of some new notions (\(k\)-manifold and other) which were introduced by the author. The main result of the paper has been announced by the author in Acta Math. Acad. Sci. Hung. 24, 179-198 (1973; Zbl 0261.57008)].