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1997 | OriginalPaper | Buchkapitel

Questions on Attractors of 3-Manifolds

verfasst von : Sóstenes Lins

Erschienen in: Foundations of Computational Mathematics

Verlag: Springer Berlin Heidelberg

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The attractor of a 3-manifold M3 is the set of all 3-gems which have a minimum number of vertices and induce M3. A gem (graph-encoded manifold) is a special edge graph which encodes a ball complex whose underlying space is a manifold. Every 3-manifold is induced by a 3-gem. In this article I briefly recall the definitions and terminology of 3-gems, state some of the properties of attractors and list a number basic open questions concerning them. The characteristic of this approach to 3-manifolds is the massive use of computers and so, most of the open questions here stated simply await proper implementation of algorithms to be answered.

Metadaten
Titel
Questions on Attractors of 3-Manifolds
verfasst von
Sóstenes Lins
Copyright-Jahr
1997
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-642-60539-0_17