Baire space in neutrosophic 𝛍-topological spaces

نویسندگان

1 Department of Mathematics, Raiganj University, 733134, Raiganj, India.

2 Department of Mathematics, Gangarampur College, 733124, Gangarampur, India.

3 Department of Mathematics, Raiganj University, 733134, Raiganj, India.

doi
10.22105/jfea.2024.436483.1374
چکیده

In this article, we introduce and discuss the concepts of neutrosophic µ-dense, neutrosophic µ-nowhere dense, and neutrosophic µ-first category sets. We also define and characterize the concept of neutrosophic µ-baire space. Moreover, we investigate neutrosophic (µ, η)-continuity and neutrosophic (µ, η)-open functions and establish some results on the preservation of neutrosophic µ-baire space under such functions.