کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4659747 1344335 2009 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The transitivity of induced maps
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
The transitivity of induced maps
چکیده انگلیسی

For a metric continuum X, we consider the hyperspaces X2 and C(X) of the closed and nonempty subsets of X and of subcontinua of X, respectively, both with the Hausdorff metric. For a given map we investigate the transitivity of the induced maps and . Among other results, we show that if X is a dendrite or a continuum of type λ and is a map, then C(f) is not transitive. However, if X is the Hilbert cube, then there exists a transitive map such that f2 and C(f) are transitive.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 156, Issue 5, 15 February 2009, Pages 1013-1033