Study of dynamical system and topological transitivity with ideals

  • Chhapikul Miah Assistant Professor, Department of Mathematics, Sukanta Mahavidyalaya
  • Shyamapada Modak

Résumé

Various expression of limit points of a set can be composed by the Kuratowski’s ideal. Due to  these expression, transitivity and non-wandering point may be comprised by the ideal. These will be different  when ideal will be different types. Before considering the ideal version transitivity and non-wandering point,  the paper discussed the equivalent definition of transitivity as well as non-wandering point. It is fact that  the study of transitivity and non-wandering point contain dense set rigorously. Thus, for the study of ideal  related transitivity and non-wandering point, Remark 6.9(2) of [23] (published in Filomat, Vol. 27, Issue 2)  is countered through this paper. 

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Publiée
2025-09-14
Rubrique
Research Articles