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math.GN2020
On Lambda Function and a Quantification of Torhorst Theorem
Li Feng, Jun Luo, Xiao-Ting Yao
To any compact we associate a map -- the lambda function of -- such that a planar continuu…
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…
math.GN2017★ 1 cited
Fibers and local connectedness of planar continua
Benoît Loridant, Jun Luo
We describe non-locally connected planar continua via the concepts of fiber and numerical scale. Given a continuum and , we show that the set o…