The paper deals with combinatorial structures (pseudo-complexes, crystallizations) giving a direct link between the topology of triangulated manifolds and the theory of edge-colored multigraphs. We define the concept of regular crystallization of a manifold and prove that every non-trivial handle free closed n-manifold has a regular crystallization. Then we study some applications of regular crystallizations and give a counter-example to a conjecture of Y. Tsukui about strong frames of the 3-sphere.

Finding nice crystallizations for handle free n-manifolds / Cavicchioli, Alberto. - In: ARS COMBINATORIA. - ISSN 0381-7032. - STAMPA. - 30:(1990), pp. 33-49.

Finding nice crystallizations for handle free n-manifolds

CAVICCHIOLI, Alberto
1990

Abstract

The paper deals with combinatorial structures (pseudo-complexes, crystallizations) giving a direct link between the topology of triangulated manifolds and the theory of edge-colored multigraphs. We define the concept of regular crystallization of a manifold and prove that every non-trivial handle free closed n-manifold has a regular crystallization. Then we study some applications of regular crystallizations and give a counter-example to a conjecture of Y. Tsukui about strong frames of the 3-sphere.
30
33
49
Finding nice crystallizations for handle free n-manifolds / Cavicchioli, Alberto. - In: ARS COMBINATORIA. - ISSN 0381-7032. - STAMPA. - 30:(1990), pp. 33-49.
Cavicchioli, Alberto
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11380/451017
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