کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4657942 | 1633070 | 2016 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the countable tightness and the k-property of free topological groups over generalized metrizable spaces
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On the countable tightness and the k-property of free topological groups over generalized metrizable spaces On the countable tightness and the k-property of free topological groups over generalized metrizable spaces](/preview/png/4657942.png)
چکیده انگلیسی
In this paper, the countable tightness and the k-space property in free topological groups over generalized metrizable spaces are considered. The following main results are obtained:(1) A space X is separable or discrete if and only if the free topological group F(X)F(X) is of countable tightness for a paracompact σ-, k-space X;(2) A space X is an ℵ0ℵ0-space or discrete if and only if F(X)F(X) is of countable tightness for a normal k⁎k⁎-metrizable k-space X;(3) A space X is a kωkω-space or discrete if and only if F(X)F(X) is a k -space for a k⁎k⁎-metrizable space X.Some results on the countable tightness and the k-property of free topological groups over metric spaces are improved.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 209, 15 August 2016, Pages 198–206
Journal: Topology and its Applications - Volume 209, 15 August 2016, Pages 198–206
نویسندگان
Li-Hong Xie, Shou Lin, Piyu Li,