Robert Myers

activity

19962017

most citedEnd reductions, fundamental groups, and covering spaces of irreducible open 3-manifolds

10 citations · 24 across the 14 of their papers we have counts for

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Showing 1996Show all

5 papers · 1 filter

math.GT1996

R^2-irreducible universal covering spaces of P^2-irreducible open 3-manifolds

Robert Myers

An irreducible open 3-manifold $W$ is {\bf R} $^{2}$ -irreducible if every proper plane in $W$ splits off a halfspace. In this paper it is shown that if such a $W$ is the universal cov…

math.GT1996★ 1 cited

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…

math.GT1996★ 2 cited

Contractible open 3-manifolds which non-trivially cover only non-compact 3-manifolds

Robert Myers

Suppose $M$ is a closed, connected, orientable, \irr\ \3m\ such that $G = π_{1} (M)$ is infinite. One consequence of Thurston's geometrization conjecture is that the universal covering…

math.GT1996★ 4 cited

Attaching boundary planes to irreducible open 3-manifolds

Robert Myers

Given any connected, open 3-manifold $U$ having finitely many ends, a non-compact 3-manifold $M$ is constructed having the following properties: the interior of $M$ is homeomorphic…

math.GT1996★ 2 cited

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 $n$ -manifolds $M_{1}$ and $M_{2}$ . Recall that to form their connected sum one cho…