4 papers · 1 filter
The complex of end reductions of a contractible open 3-manifold: constructing 1-dimensional examples
Robert Myers
Given an irreducible contractible open 3-manifold W which is not homeomorphic to R^3, there is an associated simplicial complex S(W), the complex of end reductions of W. Whenever W…
End reductions and covering spaces of contractible open 3-manifolds
Robert Myers
This paper uses Brin and Thickstun's theory of end reductions of non-compact 3-manifolds to study groups of covering translations of irreducible contractible open 3-manifolds W whi…
Uncountably many arcs in S^3 whose complements have non-isomorphic, indecomposable fundamental groups
Robert Myers
An uncountable collection of arcs in S^3 is constructed, each member of which is wild precisely at its endpoints, such that the fundamental groups of their complements are non-triv…
On covering translations and homeotopy groups of contractible open n-manifolds
Robert Myers
This paper gives a new proof of a result of Geoghegan and Mihalik which states that whenever a contractible open -manifold which is not homeomorphic to is a c…