Authors:V. Jeyanthi, V. Renuka Devi, and D. Sivaraj
Properties of α-I-open sets, t-I-sets, strong β-I-open sets, SβI-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.
Authors:R. Baskaran, M. Murugalingam, and D. Sivaraj
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.