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Volume 7, Issue 1
On Strong Form of $β^∗$−$I$− Open Sets via Ideals Topological Spaces

Radhwan Mohammed Aqeel & Fawzia Abdullah Ahmed

DOI: 10.12150/jnma.2025.229

J. Nonl. Mod. Anal., 7 (2025), pp. 229-240.

Published online: 2025-02

[An open-access article; the PDF is free to any online user.]

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  • Abstract

The concept of strong $β^∗$−$I$− open sets in ideal topological spaces is investigated and some of their properties are obtained, also we study these in relation to some other types of sets. Furthermore, by using the new notion, we define the strong $β^∗$−$I$− interior and strong $β^∗$−$I$− closure operators.

  • Keywords

Local functions, ideal topological spaces, strong $β^∗$−$I$− open sets, strong $β^∗$−$I$− closed sets.

  • AMS Subject Headings

54A05, 54A010, 18F05, 54B99

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JNMA-7-229, author = {Aqeel , Radhwan Mohammed and Ahmed , Fawzia Abdullah}, title = {On Strong Form of $β^∗$−$I$− Open Sets via Ideals Topological Spaces}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2025}, volume = {7}, number = {1}, pages = {229--240}, abstract = {

The concept of strong $β^∗$−$I$− open sets in ideal topological spaces is investigated and some of their properties are obtained, also we study these in relation to some other types of sets. Furthermore, by using the new notion, we define the strong $β^∗$−$I$− interior and strong $β^∗$−$I$− closure operators.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2025.229}, url = {http://global-sci.org/intro/article_detail/jnma/23841.html} }
TY - JOUR T1 - On Strong Form of $β^∗$−$I$− Open Sets via Ideals Topological Spaces AU - Aqeel , Radhwan Mohammed AU - Ahmed , Fawzia Abdullah JO - Journal of Nonlinear Modeling and Analysis VL - 1 SP - 229 EP - 240 PY - 2025 DA - 2025/02 SN - 7 DO - http://doi.org/10.12150/jnma.2025.229 UR - https://global-sci.org/intro/article_detail/jnma/23841.html KW - Local functions, ideal topological spaces, strong $β^∗$−$I$− open sets, strong $β^∗$−$I$− closed sets. AB -

The concept of strong $β^∗$−$I$− open sets in ideal topological spaces is investigated and some of their properties are obtained, also we study these in relation to some other types of sets. Furthermore, by using the new notion, we define the strong $β^∗$−$I$− interior and strong $β^∗$−$I$− closure operators.

Aqeel , Radhwan Mohammed and Ahmed , Fawzia Abdullah. (2025). On Strong Form of $β^∗$−$I$− Open Sets via Ideals Topological Spaces. Journal of Nonlinear Modeling and Analysis. 7 (1). 229-240. doi:10.12150/jnma.2025.229
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