Browsing by Author "Myers, R."
Now showing items 1-8 of 8
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An algebraic determination of closed orientable 3-manifolds
Jaco, W.; Myers, R. (American Mathematical Society (AMS), 1979)Associated with each polyhedral simple closed curve j in a closed, orientable 3-manifold M is the fundamental group of the complement of j in M, π₁(M — j). The set, K(M), of knot groups of M is the set of groups π₁(M — j) ... -
Attaching boundary planes to irreducible open 3-manifolds
Myers, R. (Oxford University Press (OUP), 1996) -
Compactifying sufficiently regular covering spaces of compact 3-manifolds
Myers, R. (American Mathematical Society (AMS), 2000)In this paper it is proven that if the group of covering translations of the covering space of a compact, connected, P²-irreducible 3-manifold corresponding to a non-trivial, finitely-generated subgroup of its fundamental ... -
Companionship of knots and the smith conjecture
Myers, R. (American Mathematical Society (AMS), 1980)This paper studies the Smith Conjecture in terms of H. Schubert’s theory of companionship of knots. Suppose J is a counterexample to the Smith Conjecture, i.e. is the fixed point set of an action of Zₚ on S³. Theorem. Every ... -
Contractible open 3-manifolds which are not covering spaces
Myers, R. (Elsevier, 1988) -
Contractible open 3-manifolds which non-trivially cover only non-compact 3-manifolds
Myers, R. (Elsevier, 1999) -
Contractible open 3-manifolds with free covering translation groups
Myers, R. (Elsevier, 1996)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 whenever a 3-manifold in this class is a covering ... -
End reductions, fundamental groups, and covering spaces of irreducible open 3-manifolds
Myers, R. (Mathematical Sciences Publishers, 2005-05-29)Suppose M is a connected, open, orientable, irreducible 3-manifold which is not homeomorphic to ℝ³. Given a compact 3-manifold J in M which satisfies certain conditions, Brin and Thickstun have associated to it an open ...