On pseudomanifolds with boundary. II (Q1332978)

It is proved that certain types of pseudomanifolds are absolutely nonlinked. More precisely, the following is shown: Theorem. If \((Y,B)\) is an orientable \(n\)-dimensional pseudomanifold with boundary, and has no interior points that have a noncyclic \(n\)- dimensional local Betti group (with integer coefficients), then, for each prime \(p\), \((Y,B)\) is an absolutely nonlinked \((n,p)\)-cell, i.e. for each topological embedding \(f:Y \to \mathbb{R}^{n + 1}\), \((f(Y), f(B))\), is a nonlinked \((n,p)\)-cell in \(\mathbb{R}^{n + 1}\). The paper relies on several of the author's previous papers and in particular on Part I [ibid. 59, No. 1/2, 227-244 (1992; Zbl 0770.57012)] for various definitions, notations, methods, and results, much related to an analysis of the connection between ``linking'' and the behavior of the banks of closed \(\Sigma\)-chains.