Ray, S. Some properties of functions connected with a Cantor like set. (English) Zbl 0839.26006 Ganit 12, No. 1-2, 21-24 (1992). The author defines a Cantor like set \(C_k\), \(k\in \mathbb{N}\): starting from \([0, 1]\), at each step one divides each interval in \(2k+ 1\) equal parts and remove the open subintervals at even positions. (\(C_1\) is the standard Cantor set.) Then two functions \(f, \nu: [0, 1]\to C_k\) are introduced with some special properties: for example, \(f\) is midway convex for any two points belonging to \(C_k\). Reviewer: V.Anisiu (Cluj-Napoca) MSC: 26A30 Singular functions, Cantor functions, functions with other special properties 28A05 Classes of sets (Borel fields, \(\sigma\)-rings, etc.), measurable sets, Suslin sets, analytic sets Keywords:midway convex function; Cantor like set PDFBibTeX XMLCite \textit{S. Ray}, Ganit 12, No. 1--2, 21--24 (1992; Zbl 0839.26006)