Hyperhopfian groups and approximate fibrations
R. J. Daverman (1993)
Compositio Mathematica
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R. J. Daverman (1993)
Compositio Mathematica
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Dunfield, Nathan M., Thurston, William P. (2003)
Geometry & Topology
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Lisca, Paolo, Matić, Gordana (2004)
Algebraic & Geometric Topology
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Alberto Cavicchioli, Friedrich Hegenbarth, Dušan Repovš (1998)
Banach Center Publications
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This is a survey of results and open problems on compact 3-manifolds which admit spines corresponding to cyclic presentations of groups. We also discuss questions concerning spines of knot manifolds and regular neighborhoods of homotopically PL embedded compacta in 3-manifolds.
Gabai, David, Kazez, William H. (1998)
Geometry & Topology
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Michael Kapovich (2005)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Hanspeter Fischer, David G. Wright (2003)
Fundamenta Mathematicae
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Hass, Rubinstein, and Scott showed that every closed aspherical (irreducible) 3-manifold whose fundamental group contains the fundamental group of a closed aspherical surface, is covered by Euclidean space. This theorem does not generalize to higher dimensions. However, we provide geometric tools with which variations of this theorem can be proved in all dimensions.
Leininger, Christopher J., Reid, Alan W. (2002)
Algebraic & Geometric Topology
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William D. Dunbar (1988)
Revista Matemática de la Universidad Complutense de Madrid
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An orbifold is a topological space which ?locally looks like? the orbit space of a properly discontinuous group action on a manifold. After a brief review of basic concepts, we consider the special case 3-dimensional orbifolds of the form GammaM, where M is a simply-connected 3-dimensional homogeneous space corresponding to one of Thurston?s eight geometries, and where Gamma < Isom(M) acts properly discontinuously. A general description of these geometric orbifolds is given and...
Boyer, S., Zhang, X. (1998)
Annals of Mathematics. Second Series
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