A characterization of building spaces of type \(C_{n,\;n-1}\) (Q1906126)

This paper contributes to the theory of point-line characterizations of buildings. One of the open cases is the diagram \(C_{n,n - 1}\), i.e., the case where the points are the submaximal subspaces of a polar space of type \(C_n\). The author deals with this case in the paper under review by introducing cuboctahedral subspaces and nine axioms. The proof goes by induction on \(n\), the case \(n = 3\) being contained in the author's paper in Bull. Belg. Math. Soc. -- Simon Stevin 2, No. 1, 87-97 (1995; Zbl 0820.51012)].