Abstract: In the paper "Vanishing structure set of Haken 3-manifolds" it was shown (among other results) that the surgery groups of any compact Haken 3-manifold with nonempty boundary form a generalised homology theory. Also any such manifold has nonvanishing first Betti number. In this article we generalize this result to any closed Haken 3-manifold with non-vanishing first Betti number. In a later paper a similar vanishing result, for any virtual Haken 3-manifold, will be considered.
Click here for the full article.
Back to list.