کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4661544 | 1344437 | 2006 | 7 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Dimensions of strong n-point sets
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
n-point sets (plane sets which hit each line in n points) and strong n-point sets (in addition hit each circle in n-points) exist (for n⩾2, n⩾3 respectively) by transfinite induction, but their properties otherwise are difficult to establish. Recently for n-point sets the question of their possible dimensions has been settled: 2- and 3-point sets are always zero-dimensional, while for n⩾4, one-dimensional n-point sets exist. We settle the same question for strong n-point sets: strong 4- and 5-point sets are always zero-dimensional, while for n⩾6, both zero-dimensional and one-dimensional strong n-point sets exist.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 153, Issue 8, 1 February 2006, Pages 1302-1308
Journal: Topology and its Applications - Volume 153, Issue 8, 1 February 2006, Pages 1302-1308