کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4661507 1344433 2007 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Fractal boundaries are not typical
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
Fractal boundaries are not typical
چکیده انگلیسی

Let M be a C1 n-dimensional compact submanifold of Rn. The boundary of M, ∂M, is itself a C1 compact (n−1)-dimensional submanifold of Rn. A carefully chosen set of deformations of ∂M defines a complete subspace consisting of boundaries of compact n-dimensional submanifolds of Rn, thus the Baire Category Theorem applies to the subspace. For the typical boundary element ∂W in this space, it is the case that ∂W is simultaneously nowhere-differentiable and of Hausdorff dimension n−1.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 154, Issue 3, 1 February 2007, Pages 533-539