کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4659922 1344342 2010 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Tree maps having chain movable fixed points
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
Tree maps having chain movable fixed points
چکیده انگلیسی

In this paper we discuss some basic properties of chain reachable sets and chain equivalent sets of continuous maps. It is proved that if f:T→T is a tree map which has a chain movable fixed point v, and the chain equivalent set CE(v,f) is not contained in the set P(f) of periodic points of f, then there exists a positive integer p not greater than the number of points in the set End([CE(v,f)])−Pv(f) such that fp is turbulent, and the topological entropy . This result generalizes the corresponding results given in Block and Coven (1986) [2], , Guo et al. (2003) [6], , Sun and Liu (2003) [10], , Ye (2000) [11], , Zhang and Zeng (2004) [12]. In addition, in this paper we also consider metric spaces which may not be trees but have open subsets U such that the closures are trees. Maps of such metric spaces which have chain movable fixed points are discussed.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 157, Issue 16, 1 October 2010, Pages 2572-2579