#### Abstract

We give a complete characterization of all possible pairs (f0, f1), where f0 is the number of vertices and f1 is the number of edges, of any simplicial triangulation of an Sk-bundle over S1. The main point is that Kühnel’s triangulations of S2k+1 × S1 and the nonorientable S2k-bundle over S1 are unique among all triangulations of (n − 1)-dimensional… (More)

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