Structure sets of triples of manifolds (Q950748)

In this paper a triple of manifolds \((X,Y,Z)\) supposes that \(Z^{n-q-q'} \subset Y^{n-q} \subset X^{n}\) are closed topological manifolds. The submanifolds are assumed to be locally flat with normal topological bundles. The paper describes the inter-relationships of the surgery obstruction groups and the \(s\)-cobordism classes of \(s\)-triangulations of the manifolds. Several braids of exact sequences are shown to relate the invariants.