A crystallisation of a closed PL manifold is an edge-coloured graph, which represents it via a contracted triangulation. Any two crystallisations of the same manifold are proved to be joined by a finite sequence of moves, two alternative sets of which are defined. A further move in dimension 3 is introduced. Note that this result solve the equivalence theorem for cristallisations of closed manifolds of arbitrary dimension.
Crystallisation moves / M., Ferri; Gagliardi, Carlo. - In: PACIFIC JOURNAL OF MATHEMATICS. - ISSN 0030-8730. - STAMPA. - 100:(1982), pp. 85-103.
Crystallisation moves
GAGLIARDI, Carlo
1982
Abstract
A crystallisation of a closed PL manifold is an edge-coloured graph, which represents it via a contracted triangulation. Any two crystallisations of the same manifold are proved to be joined by a finite sequence of moves, two alternative sets of which are defined. A further move in dimension 3 is introduced. Note that this result solve the equivalence theorem for cristallisations of closed manifolds of arbitrary dimension.
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