τiτj − Q∗ sf OPEN SETS ON FINE-BITOPOLOGICAL SPACES 


By

Sushma Duraphe, Tarun Kumar Deshmukh and Geeta Modi 

Department of Mathematics, Government MVM Bhopal Madhya Pradesh India-462008. 

Email: duraphe sus65@rediffmail.com, trndeshmukh@gmail.com, modi.geeta@gmail.com 

(Received: June 06, 2023; In format June 14, 2023; Revised: April 20, 2024, Accepted : May 07, 2024) 


DOI: https://doi.org/10.58250/jnanabha.2024.54134 



Abstract

In the present paper, we introduce the concept of τiτj − Q ∗ sf open set and τiτj − Q ∗ sf closed set in fine-bitopological spaces and discuss some of its basic properties . 


2020 Mathematical Sciences Classification: 54E55, 54C08, 54C10 

Keywords and Phrases: Fine-Bitopological spaces, τiτj − Q ∗ semi fine open sets (τiτj − Q ∗ sf open sets), τiτj − Q ∗ semi fine closed sets (τiτj Q ∗ sf closed sets), τ2-semi fine open sets (τ2 − sfopen sets), τ2-semi fine closed sets (τ2 − sf closed sets). 

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