کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4658214 | 1633083 | 2015 | 7 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A special point from â and strongly Ï-bounded spaces
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
A Tychonoff space is CNP if it is a P-set in its Stone-Äech compactification. We are interested in the question of whether the property of being a CNP space is finitely productive. A space X is strongly Ï-bounded if every Ï-compact subset of X has compact closure in X. In this paper, we show that the existence of two CNP spaces whose product is not CNP is equivalent to the existence of a space which is not strongly Ï-bounded but which is the union of two subsets each of which is strongly Ï-bounded. We use â to construct a special point in β(ÏÃ(βÏâÏ)) and use that point to find a non-strongly Ï-bounded space which is a union of two strongly Ï-bounded subsets.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 195, November 2015, Pages 239-245
Journal: Topology and its Applications - Volume 195, November 2015, Pages 239-245
نویسندگان
Alan Dow, Ronnie Levy,