کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5777795 | 1633049 | 2017 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Selectively sequentially pseudocompact group topologies on torsion and torsion-free Abelian groups
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
A space X is selectively sequentially pseudocompact if for every family {Un:nâN} of non-empty open subsets of X, one can choose a point xnâUn for every nâN in such a way that the sequence {xn:nâN} has a convergent subsequence. Let G be a group from one of the following three classes: (i) V-free groups, where V is an arbitrary variety of Abelian groups; (ii) torsion Abelian groups; (iii) torsion-free Abelian groups. Under the Singular Cardinal Hypothesis SCH, we prove that if G admits a pseudocompact group topology, then it can also be equipped with a selectively sequentially pseudocompact group topology. Since selectively sequentially pseudocompact spaces are strongly pseudocompact in the sense of GarcÃa-Ferreira and Ortiz-Castillo, this provides a strong positive (albeit partial) answer to a question of GarcÃa-Ferreira and Tomita.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 230, 1 October 2017, Pages 562-577
Journal: Topology and its Applications - Volume 230, 1 October 2017, Pages 562-577
نویسندگان
Alejandro Dorantes-Aldama, Dmitri Shakhmatov,