کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8904089 | 1633040 | 2018 | 23 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Shift maps and their variants on inverse limits with set-valued functions
ترجمه فارسی عنوان
نقشه های تغییر و انواع آنها در محدودیت های معکوس با توابع تعیین شده
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
چکیده انگلیسی
Inverse limit spaces of compacta with upper semi-continuous compact set-valued functions are studied via shift maps and their variants. We give a representation of such spaces as the limits of ordinary inverse sequences, which allows us to prove some known results and their extensions in a unified scheme. Next we present a scheme to construct shift dynamics on the inverse limit space with various dynamical features. In particular we construct an inverse sequence over [0,1] with a single upper semi-continuous function f as its bonding function such that (i) the inverse limit space [0,1]f is homeomorphic to the Cantor set and (ii) the shift map Ïf:[0,1]fâ[0,1]f is topologically conjugate to a minimal subshift of a Bernoulli full shift. Also we study local/global connectivity of the inverse limit space over a compactum with a single upper semi-continuous bonding function in terms of homotopy/(co)homology groups, again via shift maps and their variants.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 239, 15 April 2018, Pages 92-114
Journal: Topology and its Applications - Volume 239, 15 April 2018, Pages 92-114
نویسندگان
Kazuhiro Kawamura, Judy Kennedy,