Scharlemann's manifold is standard.
Akbulut, Selman (1999)
Annals of Mathematics. Second Series
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Akbulut, Selman (1999)
Annals of Mathematics. Second Series
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Cavicchioli, Alberto, Spaggiari, Fulvia (2006)
International Journal of Mathematics and Mathematical Sciences
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Kuperberg, Greg (2003)
Algebraic & Geometric Topology
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Akbulut, Selman (2002)
Geometry & Topology
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Akbulut, Selman, Ozbagci, Burak (2001)
Geometry & Topology
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Kim, Soo Hwan, Kim, Yangkok (2010)
International Journal of Mathematics and Mathematical Sciences
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José María Montesinos-Amilibia (2002)
Revista Matemática Complutense
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It is proved that the Freudenthal compactification of an open, connected, oriented 3-manifold is a 3-fold branched covering of S, and in some cases, a 2-fold branched covering of S. The branching set is a locally finite disjoint union of strings.
Schneiderman, Rob, Teichner, Peter (2001)
Algebraic & Geometric Topology
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Apostolakis, Nikos (2003)
Algebraic & Geometric Topology
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Derbez, Pierre (2003)
Algebraic & Geometric Topology
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José María Montesinos-Amilibia (2003)
Revista Matemática Complutense
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In this paper, a representation of closed 3-manifolds as branched coverings of the 3-sphere, proved in [13], and showing a relationship between open 3-manifolds and wild knots and arcs will be illustrated by examples. It will be shown that there exist a 3-fold simple covering p : S --> S branched over the remarkable simple closed curve of Fox [4] (a wild knot). Moves are defined such that when applied to a branching set, the corresponding covering manifold remains unchanged, while...
Masters, J., Menasco, W., Zhang, X. (2004)
The New York Journal of Mathematics [electronic only]
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José María Montesinos-Amilibia (2003)
Revista Matemática Complutense
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There is a disk in S whose interior is PL embedded and whose boundary has a tame Cantor set of locally wild points, such that the n-fold cyclic coverings of S branched over the boundary of the disk are all S. An uncountable set of inequivalent wild knots with these properties is exhibited.