G-index, topological dynamics and the marker property

نویسندگان

چکیده

Given an action of a finite group G on topological space, we can define its index. The G-index roughly measures size the given G-space. We explore connections between theory and dynamics. For fixed-point free dynamical system, study ℤp-index set p-periodic points. find that growth is at most linear in p. As application, construct system which does not have marker property. This solves problem has been open for several years.

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ژورنال

عنوان ژورنال: Israel Journal of Mathematics

سال: 2022

ISSN: ['1565-8511', '0021-2172']

DOI: https://doi.org/10.1007/s11856-022-2433-0