In [5], King proved that the centralizer of a rank-1 transformation equals the ''weak closure'' of its (positive and negative) powers (see below for a definition of the weak topology). We define rank-1 flows, and then show that simple modifications of King's proof yield an analogous statement for rank-1 flows.
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Dalian Univ Technol, Sch Math Sci, Dalian 116024, Liaoning, Peoples R ChinaDalian Univ Technol, Sch Math Sci, Dalian 116024, Liaoning, Peoples R China
Zhao, Xinzhu
Dong, Bo
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Dalian Univ Technol, Sch Math Sci, Dalian 116024, Liaoning, Peoples R ChinaDalian Univ Technol, Sch Math Sci, Dalian 116024, Liaoning, Peoples R China
Dong, Bo
Yu, Bo
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Dalian Univ Technol, Sch Math Sci, Dalian 116024, Liaoning, Peoples R ChinaDalian Univ Technol, Sch Math Sci, Dalian 116024, Liaoning, Peoples R China