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- Author or Editor: D. Sivaraj x
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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.
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.
Abstract
A new class of sets in ideal topological spaces is introduced and using these sets, a decomposition of continuity is given.
Abstract
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.
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.
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.