Luo, Jun; Akiyama, Shigeki; Thuswaldner, Jörg M. On the boundary connectedness of connected tiles. (English) Zbl 1070.37010 Math. Proc. Camb. Philos. Soc. 137, No. 2, 397-410 (2004). The authors deal with topological properties of ordinary as well as graph-directed iterated function systems. The main goal of this paper is to study the connectedness of the boundary of the attractor \(T\) (\(T\) is the attractor of the iterated function system) for dimensions \(d\geq 2\). Reviewer: Messoud A. Efendiev (Berlin) Cited in 15 Documents MSC: 37B99 Topological dynamics 28A80 Fractals Keywords:iterated function systems; attractor; connectednes PDFBibTeX XMLCite \textit{J. Luo} et al., Math. Proc. Camb. Philos. Soc. 137, No. 2, 397--410 (2004; Zbl 1070.37010) Full Text: DOI