On Ph-Continuous Functions and Tiph -Spaces
DOI:
https://doi.org/10.56286/1dnh2x08Keywords:
ph-continuity, ph-irresolute, ph-homeomorphism, ph-separation axiomsAbstract
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.
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Copyright (c) 2026 Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).
This work is licensed under a Creative Commons Attribution 4.0 International License.
This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
