Embeddings and imnmersions of branched covering spaces.

Daniel O'Donnell

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Displaying similar documents to “Embeddings and imnmersions of branched covering spaces.”

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...

Manifolds as branched covers of spheres.

Ricardo Piergallini (1989)

Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales

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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.

Branched covers according to J. W. Alexander.

Mark E. Feighn (1986)

Collectanea Mathematica

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Open 3-manifolds and branched coverings: a quick exposition.

Montesinos-Amilibia, José-María (2007)

Revista Colombiana de Matemáticas

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Cyclic branched coverings of 2-bridge knots.

Alberto Cavicchioli, Beatrice Ruini, Fulvia Spaggiari (1999)

Revista Matemática Complutense

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In this paper we study the connections between cyclic presentations of groups and the fundamental group of cyclic branched coverings of 2-bridge knots. Then we show that the topology of these manifolds (and knots) arises, in a natural way, from the algebraic properties of such presentations.

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.

Generalizad Lins-Mandel Spaces and branched coverings of S.

Luigi Grasselli, Michele Mulazzani (1999)

Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales

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About some infinite family of 2-bridge knots and 3-manifolds.

Kim, Yangkok (2000)

International Journal of Mathematics and Mathematical Sciences

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Representing open 3-manifolds as 3-fold branched coverings.

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.