کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9516625 | 1633125 | 2005 | 32 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Pseudoarcs, pseudocircles, Lakes of Wada and generic maps on S2
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Pseudoarcs, pseudocircles, Lakes of Wada and generic maps on S2 Pseudoarcs, pseudocircles, Lakes of Wada and generic maps on S2](/preview/png/9516625.png)
چکیده انگلیسی
We prove a Bruckner-Garg type theorem for the fiber structure of a generic map from a continuum X into the unit interval I. We also study the specific case of X=S2. We show that each nondegenerate component of each fiber of a generic map in C(S2,I) is figure-eight-like. This together with a result by Krasinkiewicz and Levin gives that each nondegenerate component of each fiber of a generic map in C(S2,I) is hereditarily indecomposable and figure-eight-like. We also show that pseudoarcs, pseudocircles and Lakes of Wada appear in abundance in fibers of a generic map in C(S2,I). We also exhibit a general method for proving when a P-like hereditarily indecomposable continuum is Q-like when Q is a certain graph containing P.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 150, Issues 1â3, 14 May 2005, Pages 223-254
Journal: Topology and its Applications - Volume 150, Issues 1â3, 14 May 2005, Pages 223-254
نویسندگان
Zoltán Buczolich, Udayan B. Darji,