1997 | OriginalPaper | Buchkapitel
Questions on Attractors of 3-Manifolds
verfasst von : Sóstenes Lins
Erschienen in: Foundations of Computational Mathematics
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
Aktivieren Sie unsere intelligente Suche um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
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.