TL;DR
This paper discusses the existence of spines made of transversely intersecting codimension one submanifolds for any bounding compact smooth manifold, providing detailed proof of a previously sketched idea.
Contribution
It offers a detailed picture proof that any bounding compact smooth manifold admits a spine composed of transversely intersecting codimension one submanifolds.
Findings
Every bounding compact smooth manifold has a spine of transversely intersecting codimension one submanifolds.
Provides detailed proof of a previously sketched idea.
Clarifies the construction of such spines in smooth manifolds.
Abstract
Any bounding compact smooth manifold bounds a compact manifold with a spine consisting of transversely intersecting codimension one submanifolds. This paper provides details for a picture proof given in previous papers with S. Akbulut.
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Taxonomy
TopicsGeometric and Algebraic Topology · Geometric Analysis and Curvature Flows · Geometry and complex manifolds