Displaying similar documents to “Representing open 3-manifolds as 3-fold branched coverings.”

Open 3-manifolds, wild subsets of S and branched coverings.

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...

Two-fold branched coverings of S have type six.

Maria Rita Casali (1992)

Revista Matemática de la Universidad Complutense de Madrid

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In this work, we prove that every closed, orientable 3-manifold M which is a two-fold covering of S branched over a link, has type six.

Uncountably many wild knots whose cyclic branched covering are S.

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.

Around the Borromean link.

José María Montesinos Amilibia (2008)

RACSAM

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This is a survey of some consequences of the fact that the fundamental group of the orbifold with singular set the Borromean link and isotropy cyclic of order 4 is a universal kleinian group.