کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6424760 1344321 2012 25 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Hierarchy of graph matchbox manifolds
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
Hierarchy of graph matchbox manifolds
چکیده انگلیسی

We study a class of graph foliated spaces, or graph matchbox manifolds, initially constructed by Kenyon and Ghys. For graph foliated spaces we introduce a quantifier of dynamical complexity which we call its level. We develop the fusion construction, which allows us to associate to every two graph foliated spaces a third one which contains the former two in its closure. Although the underlying idea of the fusion is simple, it gives us a powerful tool to study graph foliated spaces. Using fusion, we prove that there is a hierarchy of graph foliated spaces at infinite levels. We also construct examples of graph foliated spaces with various dynamical and geometric properties.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 159, Issue 16, 1 October 2012, Pages 3461-3485
نویسندگان
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