10 citations · 24 across the 14 of their papers we have counts for
14 papers
Concordance of Seifert surfaces
Robert Myers
This paper proves that every oriented non-disk Seifert surface for a knot in is smoothly concordant to a Seifert surface for a hyperbolic knot $K^{\prime…
On embedding the fundamental group of a 3-manifold in one of its knot groups
Robert Myers
This paper gives necessary and sufficient conditions on a compact, connected, orientable 3-manifold M for it to contain a knot K such that M-K is irreducible and pi_1(M) embeds in…
End reductions, fundamental groups, and covering spaces of irreducible open 3-manifolds
Robert Myers
Suppose M is a connected, open, orientable, irreducible 3-manifold which is not homeomorphic to R^3. Given a compact 3-manifold J in M which satisfies certain conditions, Brin and…
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…
Splitting homomorphisms and the Geometrization Conjecture
Robert Myers
This paper gives an algebraic conjecture which is shown to be equivalent to Thurston's Geometrization Conjecture for closed, orientable 3-manifolds. It generalizes the Stallings-Ja…
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…
Compactifying sufficiently regular covering spaces of compact 3-manifolds
Robert Myers
In this paper it is proven that if the group of covering translations of the covering space of a compact, connected, -irreducible 3-manifold corresponding to a non-trivial, fi…
R^2-irreducible universal covering spaces of P^2-irreducible open 3-manifolds
Robert Myers
An irreducible open 3-manifold is {\bf R}-irreducible if every proper plane in splits off a halfspace. In this paper it is shown that if such a is the universal cov…
Contractible open 3-manifolds with free covering translation groups
Robert Myers
This paper concerns the class of contractible open 3-manifolds which are ``locally finite strong end sums'' of eventually end-irreducible Whitehead manifolds. It is shown that when…
Contractible open 3-manifolds which non-trivially cover only non-compact 3-manifolds
Robert Myers
Suppose is a closed, connected, orientable, \irr\ \3m\ such that is infinite. One consequence of Thurston's geometrization conjecture is that the universal covering…
Attaching boundary planes to irreducible open 3-manifolds
Robert Myers
Given any connected, open 3-manifold having finitely many ends, a non-compact 3-manifold is constructed having the following properties: the interior of is homeomorphic…
End sums of irreducible open 3-manifolds
Robert Myers
An end sum is a non-compact analogue of a connected sum. Suppose we are given two connected, oriented -manifolds and . Recall that to form their connected sum one cho…