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