Concordances of noncompact Hilbert cube manifolds

Thomas Ashland Chapman

Vol. 63 (1976), No. 1, 89–124

DOI: 10.2140/pjm.1976.63.89

Abstract

In this paper two exact sequences are established which are useful in computing π₀𝒞(M), the group of isotopy classes of concordances for a noncompact Hilbert 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.

Mathematical Subject Classification

Primary: 57A20, 57A20

Secondary: 57D80, 57C10

Milestones

Received: 30 April 1975

Revised: 31 October 1975

Published: 1 March 1976