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 ⋄ and strongly ω-bounded spaces
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
A special point from ⋄ and strongly ω-bounded spaces
چکیده انگلیسی
A Tychonoff space is CNP if it is a P-set in its Stone-Čech compactification. We are interested in the question of whether the property of being a CNP space is finitely productive. A space X is strongly ω-bounded if every σ-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 ω-bounded but which is the union of two subsets each of which is strongly ω-bounded. We use ⋄ to construct a special point in β(ω×(βω∖ω)) and use that point to find a non-strongly ω-bounded space which is a union of two strongly ω-bounded subsets.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 195, November 2015, Pages 239-245
نویسندگان
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