FILTERS ON LEFT INVARIANT TOPOLOGIES GROUPS
Keywords:
Left invariant topology, Strongly extremally disconnected, Strongly discrete filterAbstract
Let G be an infinite group with identity e, . Given a filter F on G let denotes the strongest left invariant topology in which this filter converges to e. We try to describe the topology including the case where F is a strongly discrete filter, in this case, we will show that (G, ) is a Zero- dimensional and possesses an interesting extremal properties.
References
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