# Certain new classes of generalized closed sets and their applications in ideal topological spaces

##### Citations

### Cites background from "Certain new classes of generalized ..."

...Certain descriptions of such sets along with those in connection with the ∗-g-open and ∗-g-closed sets of [7] are incorporated in this section....

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...6 of [7] we have, cl(A)\A does not contain any nonempty ∗-closed set....

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...It was shown in [7] that the the class of ∗-g-closed sets lies strictly between the class of closed sets and the class of g-closed sets....

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...A subset A of an ideal space (X, τ, I) is said to be ∗-g-closed [7] if cl(A) ⊆ U whenever A ⊆ U and U is ∗-open....

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##### References

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### "Certain new classes of generalized ..." refers background in this paper

...The class of such sets is found to lie strictly between the class of all closed sets and that of generalized closed sets of Levine [5]....

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...A subset A of X is said to be 1-closed [5] if cl(A) ⊆ U whenever A ⊆ U and U is open in X; and the complement of a 1-closed subset in X is called a 1-open set in X....

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...In 1970, Levine [5] first introduced the novel idea of generalized closed (1-closed, for short) sets, a generalization of closed sets having their own meaningful facets....

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205 citations

### "Certain new classes of generalized ..." refers background in this paper

...The notion of ideals in general topological spaces is treated in the classic text by Kuratowski [4] and also in [10]....

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179 citations

### "Certain new classes of generalized ..." refers background in this paper

...∗-R0-Space and I -R0-space The notion of R0-space, first introduced by Davis [1], has been studied by many topologists....

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...We begin with the following definition recalled from [1]....

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...The notion of R0-space, first introduced by Davis [1], has been studied by many topologists....

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