کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8903927 | 1633032 | 2018 | 22 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Subgroups of products of certain paratopological (semitopological) groups
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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: Subgroups of products of certain paratopological (semitopological) groups Subgroups of products of certain paratopological (semitopological) groups](/preview/png/8903927.png)
چکیده انگلیسی
In the first part of this note, we give some sufficient conditions under which a paratopological group is topologically isomorphic to a subgroup of a product of strongly metrizable paratopological groups. In the second part of this note, we show that a regular (Hausdorff, T1) semitopological group G admits a homeomorphic embedding as a subgroup into a product of regular (Hausdorff, T1) first-countable semitopological groups which are Ï-spaces if and only if G is locally Ï-good, Ï-balanced, Ir(G)â¤Ï (Hs(G)â¤Ï, Sm(G)â¤Ï) and with the property that for every open neighborhood U of the identity e of G the cover {xU:xâG} has a basic refinement F which is Ï-discrete with respect to a countable family V of open neighborhoods of e. In the last part of this note, we give an internal characterization of projectively Ti second-countable semitopological groups, for i=0,1,2.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 247, 15 September 2018, Pages 115-128
Journal: Topology and its Applications - Volume 247, 15 September 2018, Pages 115-128
نویسندگان
Liang-Xue Peng, Ming-Yue Guo,