کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5777995 1633058 2017 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Homological dimension and homogeneous ANR spaces
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
Homological dimension and homogeneous ANR spaces
چکیده انگلیسی
The homological dimension dG of metric compacta was introduced by Alexandroff in [1]. In this paper we provide some general properties of dG, mainly with an eye towards describing the dimensional full-valuedness of compact metric spaces. As a corollary of the established properties of dG, we prove that any two-dimensional lc2 metric compactum is dimensionally full-valued. This improves the well known result of Kodama [10] that every two-dimensional ANR is dimensionally full-valued. Applications for homogeneous metric ANR-compacta are also given.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 221, 15 April 2017, Pages 38-50
نویسندگان
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