کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9516677 1633126 2005 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Distributivity of the algebra of regular open subsets of βR∖R
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
Distributivity of the algebra of regular open subsets of βR∖R
چکیده انگلیسی
We compare the structure of the algebras P(ω)/fin and Aω/Fin, where A denotes the algebra of clopen subsets of the Cantor set. We show that the distributivity number of the algebra Aω/Fin is bounded by the distributivity number of the algebra P(ω)/fin and by the additivity of the meager ideal on the reals. As a corollary we obtain a result of A. Dow, who showed that in the iterated Mathias model the spaces βω∖ω and βR∖R are not co-absolute. We also show that under the assumption t=h the spaces βω∖ω and βR∖R are co-absolute, improving on a result of E. van Douwen.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 149, Issues 1–3, 28 April 2005, Pages 1-7
نویسندگان
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