Codense and completely codense ideals

Abstract

We characterize codense and completely codense ideals.

Two New Forms of Quasi-H-Closedness via Ideals

“…(5) For each nonempty family {F α } α∈Λ of regular closed subsets of X, with A result in [9] implies that if (X, τ ) is a topological space and I is a completely codense ideal in X, then (X, τ ) and (X, τ * ) have the same regular open subsets, and adh τ (V ) = adh τ * (V ), for all V ∈ τ * . Then the following result is clear.…”

ON b-mI-OPEN SETS AND b-mI- CONTINUOUS FUNCTIONS

“…If (X, ℳ) has property (Lashien and Nasef, 1992) then m-cl*(m-cl*(A))=m-cl*(A) and m-cl*(A)∪ m-cl*(B)= m-cl*(A∪B). (Renukadevi, et al, 2005) Let (X, ,I) be an ideal space and A⊂ . If A⊂A*, then A* = cl(A*) = cl(A) = cl*(A).…”

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“…A subset A of an ideal space (X, τ, I) is said to be I-locally closed [5] (a) I is codense. [18,Theorem 5]. Let (X, τ, I) be an ideal space and A a subset of X such that A ⊂ A .…”