کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4657865 1633078 2016 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Topological dynamics on nets
ترجمه فارسی عنوان
دینامیک توپولوژیک در شبکه
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
چکیده انگلیسی

We prove recurrence and multiple recurrence results for topological dynamical systems indexed by an arbitrary directed partial semigroup with respect to a coideal basis suitable for this semigroup, but otherwise arbitrary. These results are then applied to topological dynamical systems indexed by semigroups possessing digital representation. Our theory includes recurrence and multiple recurrence results for topological dynamical systems, indexed by natural numbers, or by finite non-empty subsets of natural numbers, proved by Furstenberg and Weiss, and analogous results for topological dynamical systems indexed by words.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 201, 15 March 2016, Pages 414–431
نویسندگان
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