2025/03/03 by Chhapikul Mıah, Miah, Chhapikul, Shyamapada Modak +1
Engineering · #54C05 #54C10 #Artificial Immune Systems Applications #FOS: Mathematics #General Topology (math.GN) #Primary: 54B20 #Secondary: 54F15
paper · pdf · doi:10.48550/arxiv.2503.01241
openalex publication_date 2025/03/03 · openalex created_date 2025/10/12 · openalex updated_date 2026/07/28
This paper will discuss the problem of defining the new topological transitivity. To do this several equivalent topological transitive and non-wandering point has been discussed through this paper. This paper also consider the ideal version of transitivity with the help of the amendment of the result Remark 6.9(2) of \citeLL2013. Corrected version of the Remark: ``If \bf I is codense, then \bf I-denseness, *-denseness and denseness are equivalent" will be ``If \bf I is completely codense, then \bf I-denseness, *-denseness and denseness are equivalent".