Abstract
We prove that a regular neighborhood of a codimension ⩾ 3 \geqslant 3 subcomplex of a manifold can be chosen so that the induced metric on its boundary has positive scalar curvature. A number of useful facts concerning manifolds of positive scalar curvature follow from this construction. For example, we see that any finitely presented group can appear as the fundamental group of a compact 4 4 -manifold with such a metric.
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