کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4661115 1344407 2008 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Topologies on groups determined by discrete subsets
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
Topologies on groups determined by discrete subsets
چکیده انگلیسی

Let G be an infinite group. Given a filter F on G, let T[F] denote the largest left invariant topology on G in which F converges to the identity. In this paper, we study the topology T[F] in case when F contains the Fréchet filter and there is such that all the subsets xM(x), where x∈G, are pairwise disjoint. We show that T[F] possesses interesting extremal properties. We consider also the question whether T[F] can be a group topology.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 155, Issue 12, 15 June 2008, Pages 1332-1339