کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9516667 | 1633124 | 2005 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Limits in function spaces and compact groups
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
For B an infinite subset of Ï and X a topological group, let CBX be the set of all xâX such that ãxn:nâBã converges to 1. CBT always has measure 0 in the circle group T. If F is a filter of infinite sets, let DFX=â{CBX:BâF}. Then CBX and DFX are subgroups of X when X is Abelian. We show that there is a filter F such that DFT has measure 0 but is not contained in any CBT. In contrast, for any compact metric group X, there is a filter G such that DGX=X; this follows from a more general result in this paper on limits in function spaces. Also, we show that some of the properties of DFX, for arbitrary compact groups X, are determined by the special cases X=T or X=TÏ.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 151, Issues 1â3, 1 June 2005, Pages 157-168
Journal: Topology and its Applications - Volume 151, Issues 1â3, 1 June 2005, Pages 157-168
نویسندگان
Joan E. Hart, Kenneth Kunen,