Topological characteristic factors and independence along arithmetic progressions

نویسندگان

چکیده

In 1994 Glasner studied the topological characteristic factor for minimal systems. It is shown that up to canonically defined proximal extensions, a family τd= T × T2 ⋯ Td of canonical PI flows order d − 1. this paper, we generalize Glasner’s work product system finitely many systems and give its relative version. As applications, derive several applications related independence pairs along arithmetic progressions Δ-transitivity.

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ژورنال

عنوان ژورنال: Israel Journal of Mathematics

سال: 2022

ISSN: ['1565-8511', '0021-2172']

DOI: https://doi.org/10.1007/s11856-022-2313-7