W. B. R. Lickorish
Abstract
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Examples are given to show that some compact contractible 4-manifolds can be knotted in the 4-sphere.It is then proved that any finitely presented perfect group with a balanced presentation is a knot group for an embedding of some contractible 4-manifold in S 4 .
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Examples are given to show that some compact contractible 4-manifolds can be knotted in the 4-sphere.It is then proved that any finitely presented perfect group with a balanced presentation is a knot group for an embedding of some contractible 4-manifold in S 4 .
Key concepts: Contractible space, Mathematics, Knot (papermaking), Embedding, Manifold (fluid mechanics), Pure mathematics, Combinatorics, Group (periodic table)