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math.DS2018
Space-filling curves of self-similar sets (III): Skeletons
Hui Rao, Shu-Qin Zhang
Skeleton is a new notion designed for constructing space-filling curves of self-similar sets. It is shown in [Dai, Rao and Zhang, Space-filling curves of self-similar sets (II): Ed…
math.GN2018
Every component of a fractal square is a Peano continuum
Jun Luo, Hui Rao, Ying Xiong
This paper concerns the local connectedness of components of self-similar sets. Given an equal partition of the unit square into n*n small squares, we may choose arbitrarily two or…