| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4661115 | Topology and its Applications | 2008 | 8 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
