Thick, syndetic, and piecewise syndetic subsets of Fraïssé structures
نویسندگان
چکیده
منابع مشابه
Thick, syndetic, and piecewise syndetic subsets of Fräıssé structures
We define and undertake a systematic study of thick, syndetic, and piecewise syndetic subsets of a Fräıssé structure. Each of these collections forms a family in the sense of Akin and Glasner [AG], and we define and study ultrafilters on each of these families, paying special attention to ultrafilters on the thick sets. In the process, we generalize many results of Bergelson, Hindman, and McCut...
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There are several notions of largeness in a semigroup S that originated in topological dynamics. Among these are thick , central , syndetic and piecewise syndetic. Of these, central sets are especially interesting because they are partition regular and are guaranteed to contain substantial combinatorial structure. It is known that in (N,+) any central set may be partitioned into infinitely many...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2017
ISSN: 0166-8641
DOI: 10.1016/j.topol.2017.03.009