Sunto
Si prova l'esistenza, per le 3-varietà chiuse connesse, di cristallizzazioni dotate di particolari proprietà. Si ottiene in tal modo la presentazione delle 3-varietà mediante un intero positivo n, una sua partizione ed una permutazione involutoria priva di punti fissi su ℕ4n .
Summary
We prove the existence of 3-manifold crystallizations with particular properties. This allows every closed connected 3-manifold to be represented by a partition of a positive integer n and a fixed-point-free involutory permutation on ℕ4n .
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Work performed under the auspices of C.N.R. (National Research Council of Italy).
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Bandieri, P., Donati, A. & Grasselli, L. ‘Normal’ crystallizations of 3-manifolds. Geom Dedicata 14, 405–418 (1983). https://doi.org/10.1007/BF00181577
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DOI: https://doi.org/10.1007/BF00181577