7 citations · 10 across the 6 of their papers we have counts for
4 papers · 1 filter
The connectedness of Sierpiński sponges with rotational and reflectional components and associated graph-directed systems
Huo-Jun Ruan, Jian-Ci Xiao
We provide two methods to characterize the connectedness of all -dimensional generalized Sierpiński sponges whose corresponding IFSs are allowed to have rotational and reflectio…
On the existence of cut points of connected generalized Sierpinski carpets
Huo-Jun Ruan, Yang Wang, Jian-Ci Xiao
In a previous work joint with Dai and Luo, we show that a connected generalized Sierpiński carpet (or shortly a GSC) has cut points if and only if the associated -th Hata graph…
Connectedness and local cut points of generalized Sierpinski carpets
Xin-Rong Dai, Jun Luo, Huo-Jun Ruan +2
We investigate a homeomorphism problem on a class of self-similar sets called generalized Sierpinski carpets (or shortly GSCs). It follows from two well-known results by Hata and W…
Fractal squares with finitely many connected components
Jian-Ci Xiao
In this paper, we present an effective method to characterize completely when a disconnected fractal square has only finitely many connected components. Our method is to establish…