کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9516810 | 1633122 | 2005 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A category whose isomorphisms induce an equivalence relation coarser than shape
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A category whose isomorphisms induce an equivalence relation coarser than shape A category whose isomorphisms induce an equivalence relation coarser than shape](/preview/png/9516810.png)
چکیده انگلیسی
Let Sh denote the usual shape category of metric compacta. In the paper one defines a new category Sâ, whose objects are all metric compacta, and one defines a functor Sâ:ShâSâ, which preserves objects. In shape fibrations over a metric continuum fibers need not have the same shape, but they are isomorphic objects of Sâ. Various shape invariant classes of compacta, like FANR's and movable continua, are also Sâ-invariant classes, i.e., if X and Xâ² are isomorphic objects in Sâ and X is an FANR (is movable), then so is Xâ². Compact ANR's are isomorphic in Sâ if an only if they have the same homotopy type.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 153, Issues 2â3, 1 September 2005, Pages 448-463
Journal: Topology and its Applications - Volume 153, Issues 2â3, 1 September 2005, Pages 448-463
نویسندگان
Sibe MardeÅ¡iÄ, Nikica UgleÅ¡iÄ,