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.
Pubblicazioni consigliate
I metadati presenti in IRIS UNIMORE sono rilasciati con licenza Creative Commons CC0 1.0 Universal, mentre i file delle pubblicazioni sono rilasciati con licenza Attribuzione 4.0 Internazionale (CC BY 4.0), salvo diversa indicazione.
In caso di violazione di copyright, contattare Supporto Iris
