کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4660770 1344384 2006 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the topological Helly theorem
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
On the topological Helly theorem
چکیده انگلیسی

The main result of this paper is the following theorem, related to the missing link in the proof of the topological version of the classical result of Helly: Let be any family of simply connected compact subsets of R2 such that for every i,j∈{0,1,2} the intersections Xi∩Xj are path connected and is nonempty. Then for every two points in the intersection there exists a cell-like compactum connecting these two points, in particular the intersection is a connected set.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 153, Issue 10, 1 April 2006, Pages 1614-1621