کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9516619 | 1633125 | 2005 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Topology of connected self-similar tiles in the plane with disconnected interiors
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
We study the topological structure of connected self-similar tiles in R2 defined by injective contractions satisfying the open set condition. We emphasize on tiles each of whose interior consists of either finitely or infinitely many components. In the former case, we show in particular that the closure of some component is a topological disk. In the latter case we show that the closure of each component is a locally connected continuum. We introduce the finite tail and infinite replication properties and show that under these assumptions the closure of each component is a disk. As an application we prove that the closure of each component of the interior of the Lévy dragon is a disk.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 150, Issues 1â3, 14 May 2005, Pages 139-155
Journal: Topology and its Applications - Volume 150, Issues 1â3, 14 May 2005, Pages 139-155
نویسندگان
Sze-Man Ngai, Tai-Man Tang,