Another Sierpinski object in BFTS

TL;DR

This paper introduces a new Sierpinski object in the category of fuzzy bitopological spaces, expanding the understanding of such objects beyond previously known examples.

Contribution

It identifies a novel Sierpinski object in fuzzy bitopological spaces, different from earlier known objects, contributing to the categorical topology theory.

Findings

Discovered a new Sierpinski object in fuzzy bitopological spaces.

Compared the new object with existing Sierpinski objects.

Enhanced the understanding of categorical structures in fuzzy topology.

Abstract

We identify a Sierpinski object in the category of fuzzy bitopological spaces, which is different from the two Sierpinski objects in this category, obtained earlier by Khastgir and Srivastava ['On two epireflective subcategories of the category of 2$T_0$-fuzzy bitopological spaces', Quaestiones Mathematicae, 23 (2000) 163-177].