کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4659018 1344299 2013 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Uniformly proper actions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
Uniformly proper actions
چکیده انگلیسی

For a locally compact Hausdorff group G we introduce the notion of a uniformly proper G-space. We prove that a uniformly proper G-space X   admits a closed fundamental set F⊂XF⊂X; in particular, the restriction of the orbit projection X→X/GX→X/G to F   is a perfect surjective map F→X/GF→X/G. This is a key result to prove the existence of a compatible G-invariant metric on a uniformly proper metrizable G-space. Many topological properties, among them metrizability and paracompactness, are transferred from X   to X/GX/G. We also show that every topological group X  , endowed with the natural action of any locally compact subgroup G⊂XG⊂X, is a uniformly proper G-space.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 160, Issue 11, 1 July 2013, Pages 1261–1270
نویسندگان
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