Concordances of noncompact Hilbert cube manifolds

Abstract

In this paper two exact sequences are established which are useful in computing o ^(M), the group of isotopy classes of concordances for a noncompact Hubert cube manifold M. Roughly speaking, this enables one to study the noncompact case in terms of the compact case. The situation is analogous to Siebenmann's description of groups of infinite simple homotopy types in terms of two exact sequences.