Meng, Nan; Pei, Donghe The number of areas of the species free arrangements. (Chinese. English summary) Zbl 1226.52008 J. Northeast Norm. Univ., Nat. Sci. Ed. 41, No. 4, 13-15 (2009). Summary: A new kind of hyperplane arrangements – species free arrangements – is defined. The characteristic polynomial and the number of the areas of the species free arrangements in \(n\)-dimensional vector space are computed using the Whitney theorem. The related conclusion of the \(n\) free arrangements in \(n\)-dimensional vector space is derived. MSC: 52C35 Arrangements of points, flats, hyperplanes (aspects of discrete geometry) Keywords:hyperplane arrangement; free arrangements; species free arrangement; area PDFBibTeX XMLCite \textit{N. Meng} and \textit{D. Pei}, J. Northeast Norm. Univ., Nat. Sci. Ed. 41, No. 4, 13--15 (2009; Zbl 1226.52008) Full Text: Link