By means of techniques and results concerning maps on surfaces and edge-coloured graphs representing PL-manifolds, we prove the existence of an infinite ball complex P(n), n > 1, such that every orientable PL-manifold of dimension n is a quotient of |P(n)| by the action of a finite index subgroup of a Fuchsian group. The core of the proof is that all orientable PL-manifolds of dimension n can be represented by edge-coloured graphs which are quotients of a universal graph, only depending on n.
Universal coverings of pl-manifolds via coloured graphs / Costa, A. F.; Grasselli, Luigi. - In: AEQUATIONES MATHEMATICAE. - ISSN 0001-9054. - STAMPA. - 44:(1992), pp. 60-71.
Universal coverings of pl-manifolds via coloured graphs
GRASSELLI, Luigi
1992
Abstract
By means of techniques and results concerning maps on surfaces and edge-coloured graphs representing PL-manifolds, we prove the existence of an infinite ball complex P(n), n > 1, such that every orientable PL-manifold of dimension n is a quotient of |P(n)| by the action of a finite index subgroup of a Fuchsian group. The core of the proof is that all orientable PL-manifolds of dimension n can be represented by edge-coloured graphs which are quotients of a universal graph, only depending on n.
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
