Topological characteristic factors along cubes of minimal systems
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS(2019)
摘要
In this paper we study the topological characteristic factors along cubes of minimal systems. It is shown that up to proximal extensions the pro-nilfactors are the topological characteristic factors along cubes of minimal systems. In particular, for a distal minimal system, the maximal (d - 1)-step pro-nilfactor is the topological cubic characteristic factor of order d.
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关键词
Topological characteristic factor,minimal system,pro-nilfactor
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