On Ph-Continuous Functions and Tiph -Spaces
Abstract
In this paper, we introduce a set of new and significant functional concepts in topology, including ph-continuous functions, ph-open functions (ph-openness), and ph-irresolute functions. The fundamental characteristic properties of these functions are investigated, in addition to reviewing and defining the conditions for the concept of ph-homeomorphism. Furthermore, we establish and define a new set of ph-separation axioms that enhance the precision of classifying topological spaces. Subsequently, we analyse the interrelationships among these axioms and their points of distinction from the standard axioms.
Fields of Study & Subjects
Advanced Topology and Set Theory
Advanced Banach Space Theory
Fuzzy and Soft Set Theory
Publication details
- Journal / source
- NTU Journal of Pure Sciences
- Volume
- 4
- Issue
- 4
- Pages
- 51–55
- Publication date
- 13 January 2026