On τ-covers using ideals and some of its consequences.

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. [ABSTRACT FROM AUTHOR]