Continuity of Split Intuitionistic Topological Space

Author(s)	Mr. Suman Chandra Paul, Dr. Muhammad Minarul Islam
Country	Bangladesh
Abstract	In this paper we investigate the notion of continuity functions between split intuitionistic topological spaces. We begin by defining continuous functions in this context, illustrating the concept through examples, which is convenient to understanding. Several equivalent characterizations of continuity are established, including conditions involving bases, subbases, closed sets, and closures. Further, we examine special cases such as constant functions, identity maps, and compositions, along with criteria for openness and closedness of mappings. These findings broaden the classical concepts of continuity to the setting of split intuitionistic topology, establishing a basis for future theoretical advancements and applications within generalized topological frameworks.
Keywords	Split Intuitionistic Sets, Split Intuitionistic Topological Spaces, Split Intuitionistic Points, Split Intuitionistic Open Sets, Split Intuitionistic Closed Sets.
Field	Mathematics
Published In	Volume 7, Issue 5, September-October 2025
Published On	2025-10-10
DOI	https://doi.org/10.36948/ijfmr.2025.v07i05.57138

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