کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9516800 | 1633122 | 2005 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On two-dimensional planar compacta not homotopically equivalent to any one-dimensional compactum
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
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چکیده انگلیسی
The paper provides examples of planar “homotopically two-dimensional” compacta, (i.e., of compact subsets of the plane that are not homotopy equivalent to any one-dimensional set) that have different additional properties than the first such constructed examples (amongst them cell-like, trivial Ï1, and “everywhere” homotopically two-dimensional). It also points out that open subsets of the plane are never homotopically two-dimensional and that some homotopically two-dimensional sets cannot be in such a way decomposed into homotopically at most one-dimensional sets that the Mayer-Vietoris Theorem could be straightforwardly applied.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 153, Issues 2â3, 1 September 2005, Pages 284-293
Journal: Topology and its Applications - Volume 153, Issues 2â3, 1 September 2005, Pages 284-293
نویسندگان
U. Karimov, D. Repovš, W. Rosicki, A. Zastrow,