کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6424738 | 1344302 | 2012 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Exactly n-resolvable topological expansions
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
For a cardinal κ>1, a space X=(X,T) is κ-resolvable if X admits κ-many pairwise disjoint T-dense subsets; (X,T) is exactly κ-resolvable if it is κ-resolvable but not κ+-resolvable.The present paper complements and supplements the authorsʼ earlier work, which showed for suitably restricted spaces (X,T) and cardinals Îºâ©¾Î»â©¾Ï that (X,T), if κ-resolvable, admits an expansion UâT, with (X,U) Tychonoff if (X,T) is Tychonoff, such that (X,U) is μ-resolvable for all μ<λ but is not λ-resolvable (cf. Comfort and Hu, 2010 [11, Theorem 3.3]). Here the “finite case” is addressed. The authors show in ZFC for 1
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 159, Issue 15, 15 September 2012, Pages 3319-3326
Journal: Topology and its Applications - Volume 159, Issue 15, 15 September 2012, Pages 3319-3326
نویسندگان
W.W. Comfort, Wanjun Hu,