Abstract:
A space is called subsequential if it is a subspace of a sequential space. A free filter F on omega is called subsequential if the space omega boolean OR{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. (C) 2010 Elsevier B.V All rights reserved