A note on the fundamental group of the Salvetti complex determined by an oriented matroid (Q1202733)

Let \({\mathcal A}\) be an arrangement of hyperplanes in \(\mathbb{R}^ d\) and \(\Delta({\mathcal A})\) be a regular finite \(CW\) complex homotopic to the complexification \(M_ c({\mathcal A})\) of the complement \(\mathbb{R}^ d\backslash(\cup\{H\in{\mathcal A}\})\). The authors prove some results about the fundamental group \(\pi_ 1(\Delta)\).