Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660009 | Topology and its Applications | 2010 | 14 Pages |
Abstract
A space is called subsequential if it is a subspace of a sequential space. A free filter F on ω is called subsequential if the space ω∪{F} is subsequential. The purpose of this paper is to introduce the degree of subsequentiality of a subsequential filter in a similar way as it is done in the realm of sequential spaces. A method to produce subsequential filters with arbitrary subsequential degree is given.
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