A note on δ-I-sets

Jeyanthi, V.; Sivaraj, D.

doi:10.1007/s10474-006-0520-z

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Cited by 2 publications

(2 citation statements)

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“…If µ is a topology then it is well-known that H R is an ideal and it is easy to show A * = cicA for A ⊂ X, H = H R (see [7]). …”

Section: The Setmentioning

confidence: 99%

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Modification of generalized topologies via hereditary classes

Császár

2007

Acta Math Hung

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The purpose of the paper is to show that the construction leading from a topology and an ideal of sets to another topology remains valid, together with a lot of applications, if topology is replaced by generalized topology and ideal by hereditary class. IntroductionLet X be a set with power set exp X. Consider a topology τ on X and an ideal H on X, i.e. ∅ = H ⊂ exp X andIn the literature, there are a lot of papers based on a construction that, using τ and H, denes another topology τ * on X and discusses relations of τ and τ * (see e.g. [6]).

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“…If µ is a topology then it is well-known that H R is an ideal and it is easy to show A * = cicA for A ⊂ X, H = H R (see [7]). …”

Section: The Setmentioning

confidence: 99%

“…Still remaining in the classical case, the papers [1] and [7] establish some relations concerning the above classes. Now it is easy to see that a great part of these relations remain valid in the general case.…”

Section: Applicationsmentioning

confidence: 99%

Modification of generalized topologies via hereditary classes

Császár

2007

Acta Math Hung

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On subsets of ideal topological spaces

Renukadevi

2010

Cubo

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We define some new collection of sets in ideal topological spaces and characterize them in terms of sets already defined. Also, we give a decomposition theorem for α − I−open sets and open sets. At the end, we discuss the property of some collection of subsets in ⋆−extremally disconnected spaces. RESUMENDefinimos una nueva colección de conjuntos en espacios topológicos ideales y caracterizamos estos en términos de conjuntos ya definidos. También damos un teorema de descomposición para α − I− abiertos y conjuntos abiertos. Finalmente discutimos la probabilidad de algunas colecciones de subconjuntos en espacios disconexos ⋆− extremos.

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A note on δ-I-sets

Abstract: We characterize δ-I-sets, discuss the relation between δ-sets, δ-I-sets and I δ -sets and generalize some of the results.

Cited by 2 publications

References 5 publications

Modification of generalized topologies via hereditary classes

Modification of generalized topologies via hereditary classes

On subsets of ideal topological spaces

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