On <i>τ</i>−covers using ideals and some of its consequences

Abstract

In this paper we primarily introduce an ideal version of τ-covers studied in [18, 19]. We establish the inter-relationships between I-τ-covers and I-γ , I-large [3, 5] and κ-covers[2, 7]. We also make some investigations involving the splittability and preservation properties. Our results extend the earlier results proved in [18, 19, 2, 7] and present a more general version with respect to ideals.

Mathematics Subject Classification (2010): Primary: 54D20; Secondary: 54B20, 54C35.

Keywords: Ideal, splittability, κ-cover, I-τ-cover, I-γ-cover, I-large cover