کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4659254 1633118 2012 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On Cantor sets with shadows of prescribed dimension
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
On Cantor sets with shadows of prescribed dimension
چکیده انگلیسی

We consider a question raised by John Cobb: given positive integers n>l>k is there a Cantor set in Rn such that all whose projections onto l-dimensional planes are exactly k-dimensional? We construct in Rn a Cantor set such that all its shadows (projections onto hyperplanes) are k-dimensional for every 0⩽k⩽n−1. We also consider the extension of Cobbʼs question to Hilbert space.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 159, Issues 10–11, 15 June–1 July 2012, Pages 2736-2742