کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5778001 | 1633058 | 2017 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Some properties of topological groups related to compactness
ترجمه فارسی عنوان
برخی خصوصیات گروه های توپولوژیکی مربوط به فشرده سازی
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
چکیده انگلیسی
In the present article four problems from the A.V. Arhangel'skii and M.G. Tkachenko's book [8] are examined. Theorem 2.5 affirms that for any uncountable cardinal Ï there exists a zero-dimensional hereditarily paracompact non-metrizable Abelian topological group G of the weight Ï1=sup{2m:m<Ï} which has a linearly ordered compactification bG of countable dyadicity index. In this connection, in Section 2 we present some properties of continuous images of Tychonoff product of compact spaces of the fixed weight Ï. These spaces are called Ï-dyadic. By virtue of Corollary 3.3, if G is a non-metrizable topological group of pointwise countable type, then the space Ge=Gâ{e} is not homeomorphic to a topological group. Section 3 contains also other results of that kind. In Section 4 some sufficient conditions are presented, under which the compact Gδ-subset of the quotient space G/H is a Dugundji space.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 221, 15 April 2017, Pages 144-155
Journal: Topology and its Applications - Volume 221, 15 April 2017, Pages 144-155
نویسندگان
Mitrofan M. Choban,