In this paper, we describe a standard algorithm, which extends to the non-orientable case the ´bijoin´ construction, introduced in [P.Bandieri, C.Gagliardi, Generating all orientable n-manifolds from (n-1)-complexes, Rend. Circ. Mat. palermo 31(1982), 233-246] for the orientable case. The algorithm allows us to obtain all (orientable and non-orientable) closed n-manifolds from a suitable class of (n - 1)-dimensional spines.
Constructing n-manifolds from spines / Bandieri, Paola. - In: EUROPEAN JOURNAL OF COMBINATORICS. - ISSN 0195-6698. - STAMPA. - 19:(1998), pp. 767-777.
Constructing n-manifolds from spines
BANDIERI, Paola
1998
Abstract
In this paper, we describe a standard algorithm, which extends to the non-orientable case the ´bijoin´ construction, introduced in [P.Bandieri, C.Gagliardi, Generating all orientable n-manifolds from (n-1)-complexes, Rend. Circ. Mat. palermo 31(1982), 233-246] for the orientable case. The algorithm allows us to obtain all (orientable and non-orientable) closed n-manifolds from a suitable class of (n - 1)-dimensional spines.
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