On Dynamical System and Topological Transitivity via Ideals
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866909521279975424 |
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| author | Miah, Chhapikul Modak, Shyamapada |
| author_facet | Miah, Chhapikul Modak, Shyamapada |
| contents | 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 \cite{LL2013}. Corrected version of the Remark: ``If $\mathcal{\bf I}$ is codense, then $\mathcal{\bf I}$-denseness, $*$-denseness and denseness are equivalent" will be ``If $\mathcal{\bf I}$ is completely codense, then $\mathcal{\bf I}$-denseness, $*$-denseness and denseness are equivalent". |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_01241 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Dynamical System and Topological Transitivity via Ideals Miah, Chhapikul Modak, Shyamapada General Topology Primary: 54B20, Secondary: 54F15, 54C05, 54C10 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 \cite{LL2013}. Corrected version of the Remark: ``If $\mathcal{\bf I}$ is codense, then $\mathcal{\bf I}$-denseness, $*$-denseness and denseness are equivalent" will be ``If $\mathcal{\bf I}$ is completely codense, then $\mathcal{\bf I}$-denseness, $*$-denseness and denseness are equivalent". |
| title | On Dynamical System and Topological Transitivity via Ideals |
| topic | General Topology Primary: 54B20, Secondary: 54F15, 54C05, 54C10 |
| url | https://arxiv.org/abs/2503.01241 |