کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4658184 | 1633084 | 2015 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
p-Boundedness in paratopological groups
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: p-Boundedness in paratopological groups p-Boundedness in paratopological groups](/preview/png/4658184.png)
چکیده انگلیسی
We show that bounded subsets of Ï-admissible paratopological groups are p-bounded for all pâÏâ. In other words, they have a similar behavior to bounded subsets of topological groups. We present several new classes of Ï-admissible paratopological groups. In particular, Hausdorff Ï-balanced paratopological groups with countable Hausdorff number belong to this class. Also, we prove that if G is an Ï-admissible paratopological group then so is every subgroup of G and its semiregularization. We analyze, by means of the case of locally feebly compact paratopological groups, how the fact that the semiregularization of a paratopological group G is a topological group influences the properties of the bounded subsets of G. Some properties of C-compact subsets of Ï-admissible (respectively, locally feebly compact) Hausdorff paratopological groups are studied and some clarifying examples are presented.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 194, October 2015, Pages 306-316
Journal: Topology and its Applications - Volume 194, October 2015, Pages 306-316
نویسندگان
Iván Sánchez, Manuel Sanchis,