Remarks on Interiors and Closures of Weak Open Sets in Bigeneralized Topological Spaces

M Anees Fathima, Jamuna Rani R


We establish the relationships between the interior and closure operators among the µij -semiopen, µij -preopen, αµij -open, βµij -open sets in bigeneralized topological spaces


Generalized topology, bigeneralized topology, µi-open set, µi-closed set

Full Text:



C. Boonpok. Weakly open functions on bigeneralized topological spaces. Int.Journal of Math. Analysis, 4(18):891–897, 2010.

A. Csaszar. Generalized open sets. ´ Acta mathematica hungarica, 75(1-2):65–87,1997.

A. Csaszar. Generalized topology, generized continuity. ´ Acta mathematica hungarica, 96(4):351–357, 2002.

A. Csaszar. Further remarks on the formula for ´ γ-interior. Acta Mathematica Hungarica, 113(4):325–332, 2006.

A. Csaszar. Remarks on quasi-topologies. ´ Acta Mathematica Hungarica, 119, 2008.

M. A. Fathima and R. J. Rani. µij-semi open sets in bigeneralized topological space. Malaya Journal of Matematik, S (1), pages 12–16, 2019.

R. Jamuna Rani and M. Anees Fathima. αµij-open sets in bigeneralized topological spaces. Proceedings in the National Conference on Recent Trends in Algebra and Topology, 2020

R. Jamuna Rani and M. Anees Fathima. βµij-open sets in bigeneralized topological spaces. Design Engineering, pages 5077–5083, 2021.

R. Jamunarani, P. Jeyanthi, and D. Sivaraj. More on γ-interior. Bull. Allahabad Math. Soc, 25:1–12, 2010.

W. Min. Almost continuity on generalized topological spaces. Acta Mathematica Hungarica, 125(1):121–125, 2009.

R. J. Rani and M. A. Fathima. µij-preopen sets in bigeneralized topological spaces. Advances in Mathematics:Scientific Journal, 2020.

P. Sivagami. Remarks on γ-interior. Acta Mathematica Hungarica, 119(1):81–94,2008



  • There are currently no refbacks.

Copyright (c) 2022 Anees Fathima M, Jamuna Rani R

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Ratio Mathematica - Journal of Mathematics, Statistics, and Applications. ISSN 1592-7415; e-ISSN 2282-8214.