An End Theorem for Stratified Spaces, by Frank Connolly and Bogdan Vajiac

We show that a tame ended stratified space X is the interior of a compact stratified space if and only if a K-theoretic obstruction vanishes. This obstruction is a localization of Quinn's mapping cylinder neighborhood obstruction. In particular, this explains when a G-manifold is the interior of a compact G-manifold with boundary.

Frank Connolly <>
Bogdan Vajiac <>