Subsequential filters

Abstract:

Following N. Noble, we say that a space is 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. In this paper, we state several properties of these filters

Keywords: Sequential space; Subsequential spaces; Sequential filters; Subsequential filters

MSC: 54A20 (54B05 54D55 54D80)

Journal: Topology and its Applications

ISSN: 0166-8641

Year: 2009

Volume: 156

Number: 18

Pages: 2949--2959

MR Number: 2556051

Revision: 1

DOI: 10.1016/j.topol.2009.02.007

Notas: Accession Number: WOS:000271159900007