Acta Mathematica Hungarica

, Volume 114, Issue 1, pp 117–131

Subsets of ideal topological spaces

  • V. Jeyanthi
  • V. Renuka Devi
  • D. Sivaraj

DOI: 10.1007/s10474-006-0517-7

Cite this article as:
Jeyanthi, V., Renuka Devi, V. & Sivaraj, D. Acta Math Hung (2007) 114: 117. doi:10.1007/s10474-006-0517-7


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.

Key words and phrases

codense ideal semiopen set preopen set I-locally closed set fI-set regular I-closed set AI-set α-I-open set t-I-set strong β-I-open set SβI-set and S-I-set 

2000 Mathematics Subject Classification

54A05 54A10 

Copyright information

© Akadémiai Kiadó 2007

Authors and Affiliations

  • V. Jeyanthi
    • 1
  • V. Renuka Devi
    • 2
  • D. Sivaraj
    • 3
  1. 1.Department of MathematicsDr. Sivanthi Aditanar College of EngineeringTiruchendurIndia
  2. 2.Department of MathematicsGovindammal Aditanar CollegeTiruchendurIndia
  3. 3.Department of MathematicsAditanar College of Arts and ScienceTiruchendurIndia
  4. 4.Department of Computer ApplicationsD. J. AcademyCoimbatoreIndia

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