Laba, Izabella; Solymosi, Jozsef Incidence theorems for pseudoflats. (English) Zbl 1132.52025 Discrete Comput. Geom. 37, No. 2, 163-174 (2007). Summary: We prove Pach-Sharir type incidence theorems for a class of curves in \(\mathbb R^{n}\) and surfaces in \(\mathbb R^{3}\), which we call pseudoflats. In particular, our results apply to a wide class of generic irreducible real algebraic sets of bounded degree. Cited in 4 Documents MSC: 52C30 Planar arrangements of lines and pseudolines (aspects of discrete geometry) 52A20 Convex sets in \(n\) dimensions (including convex hypersurfaces) 52A15 Convex sets in \(3\) dimensions (including convex surfaces) PDFBibTeX XMLCite \textit{I. Laba} and \textit{J. Solymosi}, Discrete Comput. Geom. 37, No. 2, 163--174 (2007; Zbl 1132.52025) Full Text: DOI arXiv