Review of "Research Problems in Discrete Geometry by Brass, Moser, Pach," Springer-Verlag

Bárány, Katchalski and Pach (Proc Am Math Soc 86(1):109---114, 1982) (see also Bárány et al., Am Math Mon 91(6):362---365, 1984) proved the following quantitative form of Helly's theorem. If the intersection of a family of convex sets in $$\mathbb {R}^d$...

In 1930, the mathematician Esther Klein observed that any five points in the plane in general position (i.e., no three points forming a line) contain four points forming a convex quadrilateral. This innocentsounding discovery led to major lines of ...