Abstract
By techniques of maps on surfaces and coloured maps representing manifolds we describe a family of pseudocomplexes K(m, n) which satisfy the following property: To every closed, orientable, P.L., (m−1)-manifold (m≥3), M, there is associated an even integer I(M), such that for each even n ≥ I(M), M is the quotient of K(m, n) by the action of a finite index subgroup, N, of a crystallographic group with signature (0; [n/2,\(\begin{gathered} {\text{ }}m \hfill \\ \ldots \hfill \\ \end{gathered}\),n/2]). Other related results are also established.
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Costa, A.F. Coloured graphs representing manifolds and universal maps. Geom Dedicata 28, 349–357 (1988). https://doi.org/10.1007/BF00182402
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DOI: https://doi.org/10.1007/BF00182402