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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.

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Abstract  

Characterizations of γ-open sets and locally γ-regular sets are given. We generalize some already established results and answer an open question by giving a characterization to γ-quasi-open sets.

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Abstract  

A new class of sets in ideal topological spaces is introduced and using these sets, a decomposition of continuity is given.

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Abstract  

Properties of α-I-open sets, t-I-sets, strong β-I-open sets, S βI-sets and S-I-sets in ideal topological spaces are discussed. Also, we define a new class of sets called semi-I-locally closed sets which contains the class of all I-locally closed sets and is contained in the class of all semilocally closed sets.

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Abstract  

\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\mathcal{I}_g$$ \end{document}
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\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\mathcal{I}_g$$ \end{document}
-regular spaces are introduced and various characterizations and properties are given. Characterizations of normal, mildly normal, g-normal, regular and almost regular spaces are also given.

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Abstract

We prove that the family of all generalized topologies on a nonempty set is a lattice, neither distributive nor complemented. We define the direct sum of two generalized topologies and characterize the direct sum.

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Acta Mathematica Hungarica
Authors: V. Jeyanthi, V. Jeyanthi, V. Jeyanthi, V. Renuka Devi, V. Renuka Devi, V. Renuka Devi, D. Sivaraj, D. Sivaraj, and D. Sivaraj

Summary  

Weakly I -continuous functions were introduced and studied by Aikgz, Noiri and Yksel [1]. We further extend their study, generalize some of their results and discuss its properties.

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