This is a survey of the techniques and results developped by Mario Pezzana and his group. The original concept is that of "contracted triangualtion", which was introduced with the main goal of finding a "minimal atlas" for compact manifolds. Only later did the possibility of deducing a graph theoretical tool - the crystallization - for representig PL manifolds occur as a mayor aspect of the theory. This leads to an application of graph theory to PL topology, which seems not to have been explored before. Note that many other authors outside Italy have independently become interested in this subject.

A graph theoretical representation of PL manifolds – A survey on crystallizations / M., Ferri; Gagliardi, Carlo; Grasselli, Luigi. - In: AEQUATIONES MATHEMATICAE. - ISSN 0001-9054. - STAMPA. - 31:(1986), pp. 121-141.

A graph theoretical representation of PL manifolds – A survey on crystallizations

GAGLIARDI, Carlo;GRASSELLI, Luigi
1986-01-01

Abstract

This is a survey of the techniques and results developped by Mario Pezzana and his group. The original concept is that of "contracted triangualtion", which was introduced with the main goal of finding a "minimal atlas" for compact manifolds. Only later did the possibility of deducing a graph theoretical tool - the crystallization - for representig PL manifolds occur as a mayor aspect of the theory. This leads to an application of graph theory to PL topology, which seems not to have been explored before. Note that many other authors outside Italy have independently become interested in this subject.
31
121
141
A graph theoretical representation of PL manifolds – A survey on crystallizations / M., Ferri; Gagliardi, Carlo; Grasselli, Luigi. - In: AEQUATIONES MATHEMATICAE. - ISSN 0001-9054. - STAMPA. - 31:(1986), pp. 121-141.
M., Ferri; Gagliardi, Carlo; Grasselli, Luigi
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate

Licenza Creative Commons
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

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/584471
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 139
  • ???jsp.display-item.citation.isi??? ND
social impact