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Liang, Z. et al. (2022). Gap sequences and Topological properties of Bedford–McMullen sets*The research of Miao is partially supported by Shanghai Key Laboratory of PMMP (18dz2271000) and NSFC Grant 12071137. The research of Ruan is partially supported by NSFC Grant 11771391, ZJNSF Grant LY22A010023 and the Fundamental Research Funds for the Central Universities of China Grant 2021FZZX001-01.. Nonlinearity. pp. 4043-4063. [Online].