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Journals / Journal of Universal Mathematics / 2026 / Cilt: 9 Sayı: 1

GENERALIZED TOPOLOGICAL OPERATOR ($\operatorname{\mathfrak{g}-\mathfrak{T}_{\mathfrak{g}}}$-OPERATOR) THEORY IN GENERALIZED TOPOLOGICAL SPACES ($\mathcal{T}_{\mathfrak{g}}$-Spaces)\\ Part V. GENERALIZED EXTERIOR ($\operatorname{\mathfrak{g}-\mathfrak{T}_{\mathfrak{g}}}$-EXTERIOR) AND GENERALIZED FRONTIER ($\operatorname{\mathfrak{g}-\mathfrak{T}_{\mathfrak{g}}}$-FRONTIER) OPERATORS

GENERALIZED TOPOLOGICAL OPERATOR ($\operatorname{\mathfrak{g}-\mathfrak{T}_{\mathfrak{g}}}$-OPERATOR) THEORY IN GENERALIZED TOPOLOGICAL SPACES ($\mathcal{T}_{\mathfrak{g}}$-Spaces) Part V. GENERALIZED EXTERIOR ($\operatorname{\mathfrak{g}-\mathfrak{T}_{\mathfrak{g}}}$-EXTERIOR) AND GENERALIZED FRONTIER ($\operatorname{\mathfrak{g}-\mathfrak{T}_{\mathfrak{g}}}$-FRONTIER) OPERATORS

Mohammad Irshad Khodabocus(University of Mauritius)0000-0003-2252-4342
Noor-Ul-Hacq Sookıa(University of Mauritius)0000-0002-3155-0473
Pages
46–77
Publication Date
2026-06-20
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In this paper, we present novel definitions of generalized exterior and generalized frontier operators $\operatorname{\mathfrak{g}-Ext}_{\mathfrak{g}}$, $\operatorname{\mathfrak{g}-Fr}_{\mathfrak{g}}: \mathcal{P}\left(\Omega\right) \longrightarrow \mathcal{P}\left(\Omega\right)$, respectively, study their essential properties, and establish further characterizations of generalized operations under $\operatorname{\mathfrak{g}-Ext}_{\mathfrak{g}}$, $\operatorname{\mathfrak{g}-Fr}_{\mathfrak{g}}: \mathcal{P}\left(\Omega\right) \longrightarrow \mathcal{P}\left(\Omega\right)$ in $\mathfrak{T}_{\mathfrak{g}}$.

📌 3 Key Takeaways

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Objective & Hypothesis:In a generalized topological space $\mathfrak{T}_{\mathfrak{g}} = \left(\Omega,\mathcal{T}_{\mathfrak{g}}\right)$ ($\mathcal{T}_{\mathfrak{g}}$-space), $\operatorname{\mathfrak{g}-Int}_{\mathfrak{g}}$, $\operatorname{\mathfrak{g}-Cl}_{\mathfrak{g}}: \mathcal{P}\left(\Omega\right) \longrightarrow \mathcal{P}\left(\Omega\right)$ ($\operatorname{\mathfrak{g}-\mathfrak{T}}_{\mathfrak{g}}$-interior and $\operatorname{\mathfrak{g}-\mathfrak{T}}_{\mathfrak{g}}$-closure operators) and $\operatorname{\mathfrak{g}-Der}_{\mathfrak{g}}$, $\operatorname{\mathfrak{g}-Cod}_{\mathfrak{g}}: \mathcal{P}\left(\Omega\right) \longrightarrow \mathcal{P}\left(\Omega\right)$ ($\operatorname{\mathfrak{g}-\mathfrak{T}}_{\mathfrak{g}}$-derived and $\operatorname{\mathfrak{g}-\mathfrak{T}}_{\mathfrak{g}}$-coderived operators) are pairs of generalized topological operators which may be employed to topologize the underlying set $\Omega$ or to give characterizations of generalized operations in the generalized sense.
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Key Findings & Data:Moreover, we also defined by transfinite recursion on the class of successor ordinals the $\delta^{\operatorname{th}}$-iterates $\operatorname{\mathfrak{g}-Der}_{\mathfrak{g}}^{\left(\delta\right)}$, $\operatorname{\mathfrak{g}-Cod}_{\mathfrak{g}}^{\left(\delta\right)}: \mathcal{P}\left(\Omega\right) \longrightarrow \mathcal{P}\left(\Omega\right)$ ($\operatorname{\mathfrak{g}-\mathfrak{T}_{\mathfrak{g}}^{\left(\delta\right)}}$-derived and $\operatorname{\mathfrak{g}-\mathfrak{T}_{\mathfrak{g}}^{\left(\delta\right)}}$-coderived operators) of $\operatorname{\mathfrak{g}-Der}_{\mathfrak{g}}$, $\operatorname{\mathfrak{g}-Cod}_{\mathfrak{g}}: \mathcal{P}\left(\Omega\right) \longrightarrow \mathcal{P}\left(\Omega\right)$, respectively, and study their basic properties in a $\mathfrak{T}_{\mathfrak{g}}$.
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Conclusion & Impact:In this paper, we present novel definitions of generalized exterior and generalized frontier operators $\operatorname{\mathfrak{g}-Ext}_{\mathfrak{g}}$, $\operatorname{\mathfrak{g}-Fr}_{\mathfrak{g}}: \mathcal{P}\left(\Omega\right) \longrightarrow \mathcal{P}\left(\Omega\right)$, respectively, study their essential properties, and establish further characterizations of generalized operations under $\operatorname{\mathfrak{g}-Ext}_{\mathfrak{g}}$, $\operatorname{\mathfrak{g}-Fr}_{\mathfrak{g}}: \mathcal{P}\left(\Omega\right) \longrightarrow \mathcal{P}\left(\Omega\right)$ in $\mathfrak{T}_{\mathfrak{g}}$.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Generalized topological space ($\mathcal{T}_{\mathfrak{g}}$-space) · generalized sets ($\operatorname{\mathfrak{g}-\mathfrak{T}_{\mathfrak{g}}}$-sets) · generalized exterior operator ($\operatorname{\mathfrak{g}-\mathfrak{T}_{\mathfrak{g}}}$-exterior operator)

Abstract

In a generalized topological space $\mathfrak{T}_{\mathfrak{g}} = \left(\Omega,\mathcal{T}_{\mathfrak{g}}\right)$ ($\mathcal{T}_{\mathfrak{g}}$-space), $\operatorname{\mathfrak{g}-Int}_{\mathfrak{g}}$, $\operatorname{\mathfrak{g}-Cl}_{\mathfrak{g}}: \mathcal{P}\left(\Omega\right) \longrightarrow \mathcal{P}\left(\Omega\right)$ ($\operatorname{\mathfrak{g}-\mathfrak{T}}_{\mathfrak{g}}$-interior and $\operatorname{\mathfrak{g}-\mathfrak{T}}_{\mathfrak{g}}$-closure operators) and $\operatorname{\mathfrak{g}-Der}_{\mathfrak{g}}$, $\operatorname{\mathfrak{g}-Cod}_{\mathfrak{g}}: \mathcal{P}\left(\Omega\right) \longrightarrow \mathcal{P}\left(\Omega\right)$ ($\operatorname{\mathfrak{g}-\mathfrak{T}}_{\mathfrak{g}}$-derived and $\operatorname{\mathfrak{g}-\mathfrak{T}}_{\mathfrak{g}}$-coderived operators) are pairs of generalized topological operators which may be employed to topologize the underlying set $\Omega$ or to give characterizations of generalized operations in the generalized sense. Generalized exterior and generalized frontier operators $\operatorname{\mathfrak{g}-Ext}_{\mathfrak{g}}$, $\operatorname{\mathfrak{g}-Fr}_{\mathfrak{g}}: \mathcal{P}\left(\Omega\right) \longrightarrow \mathcal{P}\left(\Omega\right)$ ($\operatorname{\mathfrak{g}-\mathfrak{T}}_{\mathfrak{g}}$-exterior and $\operatorname{\mathfrak{g}-\mathfrak{T}}_{\mathfrak{g}}$-frontier operators), respectively, are other generalized topological operators by means of which characterizations of generalized operations under $\operatorname{\mathfrak{g}-Int}_{\mathfrak{g}}$, $\operatorname{\mathfrak{g}-Cl}_{\mathfrak{g}}: \mathcal{P}\left(\Omega\right) \longrightarrow \mathcal{P}\left(\Omega\right)$ can be given without even realizing generalized interior and generalized closure operations first in order to topologize $\Omega$ in the generalized sense. In two papers, we introduced the definitions and studied the essential properties and commutativity of $\operatorname{\mathfrak{g}-Int}_{\mathfrak{g}}$, $\operatorname{\mathfrak{g}-Cl}_{\mathfrak{g}}: \mathcal{P}\left(\Omega\right) \longrightarrow \mathcal{P}\left(\Omega\right)$ ($\operatorname{\mathfrak{g}-\mathfrak{T}}_{\mathfrak{g}}$-interior} and $\operatorname{\mathfrak{g}-\mathfrak{T}}_{\mathfrak{g}}$-closure operators) in $\mathfrak{T}_{\mathfrak{g}}$. In another two papers, we introduced the definitions and studied the essential properties of $\operatorname{\mathfrak{g}-Der}_{\mathfrak{g}}$, $\operatorname{\mathfrak{g}-Cod}_{\mathfrak{g}}: \mathcal{P}\left(\Omega\right) \longrightarrow \mathcal{P}\left(\Omega\right)$ ($\operatorname{\mathfrak{g}-\mathfrak{T}}_{\mathfrak{g}}$-derived and $\operatorname{\mathfrak{g}-\mathfrak{T}}_{\mathfrak{g}}$-coderived operators) in $\mathfrak{T}_{\mathfrak{g}}$. Moreover, we also defined by transfinite recursion on the class of successor ordinals the $\delta^{\operatorname{th}}$-iterates $\operatorname{\mathfrak{g}-Der}_{\mathfrak{g}}^{\left(\delta\right)}$, $\operatorname{\mathfrak{g}-Cod}_{\mathfrak{g}}^{\left(\delta\right)}: \mathcal{P}\left(\Omega\right) \longrightarrow \mathcal{P}\left(\Omega\right)$ ($\operatorname{\mathfrak{g}-\mathfrak{T}_{\mathfrak{g}}^{\left(\delta\right)}}$-derived and $\operatorname{\mathfrak{g}-\mathfrak{T}_{\mathfrak{g}}^{\left(\delta\right)}}$-coderived operators) of $\operatorname{\mathfrak{g}-Der}_{\mathfrak{g}}$, $\operatorname{\mathfrak{g}-Cod}_{\mathfrak{g}}: \mathcal{P}\left(\Omega\right) \longrightarrow \mathcal{P}\left(\Omega\right)$, respectively, and study their basic properties in a $\mathfrak{T}_{\mathfrak{g}}$. In this paper, we present novel definitions of generalized exterior and generalized frontier operators $\operatorname{\mathfrak{g}-Ext}_{\mathfrak{g}}$, $\operatorname{\mathfrak{g}-Fr}_{\mathfrak{g}}: \mathcal{P}\left(\Omega\right) \longrightarrow \mathcal{P}\left(\Omega\right)$, respectively, study their essential properties, and establish further characterizations of generalized operations under $\operatorname{\mathfrak{g}-Ext}_{\mathfrak{g}}$, $\operatorname{\mathfrak{g}-Fr}_{\mathfrak{g}}: \mathcal{P}\left(\Omega\right) \longrightarrow \mathcal{P}\left(\Omega\right)$ in $\mathfrak{T}_{\mathfrak{g}}$.

Özet

In a generalized topological space $\mathfrak{T}_{\mathfrak{g}} = \left(\Omega,\mathcal{T}_{\mathfrak{g}}\right)$ ($\mathcal{T}_{\mathfrak{g}}$-space), $\operatorname{\mathfrak{g}-Int}_{\mathfrak{g}}$, $\operatorname{\mathfrak{g}-Cl}_{\mathfrak{g}}: \mathcal{P}\left(\Omega\right) \longrightarrow \mathcal{P}\left(\Omega\right)$ ($\operatorname{\mathfrak{g}-\mathfrak{T}}_{\mathfrak{g}}$-interior and $\operatorname{\mathfrak{g}-\mathfrak{T}}_{\mathfrak{g}}$-closure operators) and $\operatorname{\mathfrak{g}-Der}_{\mathfrak{g}}$, $\operatorname{\mathfrak{g}-Cod}_{\mathfrak{g}}: \mathcal{P}\left(\Omega\right) \longrightarrow \mathcal{P}\left(\Omega\right)$ ($\operatorname{\mathfrak{g}-\mathfrak{T}}_{\mathfrak{g}}$-derived and $\operatorname{\mathfrak{g}-\mathfrak{T}}_{\mathfrak{g}}$-coderived operators) are pairs of generalized topological operators which may be employed to topologize the underlying set $\Omega$ or to give characterizations of generalized operations in the generalized sense. Generalized exterior and generalized frontier operators $\operatorname{\mathfrak{g}-Ext}_{\mathfrak{g}}$, $\operatorname{\mathfrak{g}-Fr}_{\mathfrak{g}}: \mathcal{P}\left(\Omega\right) \longrightarrow \mathcal{P}\left(\Omega\right)$ ($\operatorname{\mathfrak{g}-\mathfrak{T}}_{\mathfrak{g}}$-exterior and $\operatorname{\mathfrak{g}-\mathfrak{T}}_{\mathfrak{g}}$-frontier operators), respectively, are other generalized topological operators by means of which characterizations of generalized operations under $\operatorname{\mathfrak{g}-Int}_{\mathfrak{g}}$, $\operatorname{\mathfrak{g}-Cl}_{\mathfrak{g}}: \mathcal{P}\left(\Omega\right) \longrightarrow \mathcal{P}\left(\Omega\right)$ can be given without even realizing generalized interior and generalized closure operations first in order to topologize $\Omega$ in the generalized sense. In two papers, we introduced the definitions and studied the essential properties and commutativity of $\operatorname{\mathfrak{g}-Int}_{\mathfrak{g}}$, $\operatorname{\mathfrak{g}-Cl}_{\mathfrak{g}}: \mathcal{P}\left(\Omega\right) \longrightarrow \mathcal{P}\left(\Omega\right)$ ($\operatorname{\mathfrak{g}-\mathfrak{T}}_{\mathfrak{g}}$-interior} and $\operatorname{\mathfrak{g}-\mathfrak{T}}_{\mathfrak{g}}$-closure operators) in $\mathfrak{T}_{\mathfrak{g}}$. In another two papers, we introduced the definitions and studied the essential properties of $\operatorname{\mathfrak{g}-Der}_{\mathfrak{g}}$, $\operatorname{\mathfrak{g}-Cod}_{\mathfrak{g}}: \mathcal{P}\left(\Omega\right) \longrightarrow \mathcal{P}\left(\Omega\right)$ ($\operatorname{\mathfrak{g}-\mathfrak{T}}_{\mathfrak{g}}$-derived and $\operatorname{\mathfrak{g}-\mathfrak{T}}_{\mathfrak{g}}$-coderived operators) in $\mathfrak{T}_{\mathfrak{g}}$. Moreover, we also defined by transfinite recursion on the class of successor ordinals the $\delta^{\operatorname{th}}$-iterates $\operatorname{\mathfrak{g}-Der}_{\mathfrak{g}}^{\left(\delta\right)}$, $\operatorname{\mathfrak{g}-Cod}_{\mathfrak{g}}^{\left(\delta\right)}: \mathcal{P}\left(\Omega\right) \longrightarrow \mathcal{P}\left(\Omega\right)$ ($\operatorname{\mathfrak{g}-\mathfrak{T}_{\mathfrak{g}}^{\left(\delta\right)}}$-derived and $\operatorname{\mathfrak{g}-\mathfrak{T}_{\mathfrak{g}}^{\left(\delta\right)}}$-coderived operators) of $\operatorname{\mathfrak{g}-Der}_{\mathfrak{g}}$, $\operatorname{\mathfrak{g}-Cod}_{\mathfrak{g}}: \mathcal{P}\left(\Omega\right) \longrightarrow \mathcal{P}\left(\Omega\right)$, respectively, and study their basic properties in a $\mathfrak{T}_{\mathfrak{g}}$. In this paper, we present novel definitions of generalized exterior and generalized frontier operators $\operatorname{\mathfrak{g}-Ext}_{\mathfrak{g}}$, $\operatorname{\mathfrak{g}-Fr}_{\mathfrak{g}}: \mathcal{P}\left(\Omega\right) \longrightarrow \mathcal{P}\left(\Omega\right)$, respectively, study their essential properties, and establish further characterizations of generalized operations under $\operatorname{\mathfrak{g}-Ext}_{\mathfrak{g}}$, $\operatorname{\mathfrak{g}-Fr}_{\mathfrak{g}}: \mathcal{P}\left(\Omega\right) \longrightarrow \mathcal{P}\left(\Omega\right)$ in $\mathfrak{T}_{\mathfrak{g}}$.

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Cite This Article

Khodabocus, M. I., Sookıa, N. (2026). GENERALIZED TOPOLOGICAL OPERATOR ($\operatorname{\mathfrak{g}-\mathfrak{T}_{\mathfrak{g}}}$-OPERATOR) THEORY IN GENERALIZED TOPOLOGICAL SPACES ($\mathcal{T}_{\mathfrak{g}}$-Spaces)\\ Part V. GENERALIZED EXTERIOR ($\operatorname{\mathfrak{g}-\mathfrak{T}_{\mathfrak{g}}}$-EXTERIOR) AND GENERALIZED FRONTIER ($\operatorname{\mathfrak{g}-\mathfrak{T}_{\mathfrak{g}}}$-FRONTIER) OPERATORS. Journal of Universal Mathematics, Cilt: 9 Sayı: 1, 46–77. https://doi.org/10.33773/jum.1913242

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References (34)

  1. M. I. Khodabocus, N. -U. -H. Sookia, Generalized Topological Operator Theory in Generalized Topological Spaces: Part II. Generalized Interior and Generalized Closure, Proceedings of International Mathematical Sciences, vol. 5, N. 1, pp. 37-62 (2023).
  2. M. I. Khodabocus, N. -U. -H. Sookia, Generalized Topological Operator Theory in Generalized Topological Spaces: Part I. Generalized Interior and Generalized Closure, Proceedings of International Mathematical Sciences, vol. 5, N. 1, pp. 17-36 (2023).
  3. M. I. Khodabocus, N. -U. -H. Sookia, R. D. Somanah Generalized Topological Operator (g-Tg-Operator) Theory in Generalized Topological Spaces (Tg-spaces): Part IV. Generalized Derived (g-Tg-Derived) and Generalized Coderived (g-Tg-Coderived) Operators, Journal of Universal Mathematics, vol. 7, N. 2, pp. 128-165 (2024).
  4. M. I. Khodabocus, N. -U. -H. Sookia, R. D. Somanah Generalized Topological Operator (g-Tg-Operator) Theory in Generalized Topological Spaces (Tg-spaces): Part III. Generalized Derived (g-Tg-Derived) and Generalized Coderived (g-Tg-Coderived) Operators, Journal of Universal Mathematics, vol. 6, N. 2, pp. 183-220 (2023).
  5. J. Dixmier, General Topology, Springer Verlag New York Inc., vol. 1, pp. X, 1-141 (1984).
  6. H. Gabai, The Exterior Operator and Boundary Operator, The American Mathematical Monthly, vol. 71, N. 9, pp. 1029–1031 (1964).
  7. C. Kuratowski, Sur l’Operation A de l’Analyse Situs, Fund. Math., vol. 3, pp. 182–199 (1922).
  8. N. Levine, On the Commutivity of the Closure and Interior Operators in Topological Spaces, Amer. Math. Monthly, vol. 68, N. 5, pp. 474–477 (1961).
  9. F. Radulescu, On the Frontier Operator, Bulletin Math´ematique de la Soci´et´e des Sciences Math´ematiques de la R´epublique Socialiste de Roumaine, vol. 24, N. 72-4, pp. 401–406 (1980).
  10. S. Willard, General Topology, Addison-Wesley Publishing Company, Reading, Massachusetts, vol. 18, pp. 1-369 (1970).
  11. M. Caldas, S. Jafari and M. M. Kov´ar, Some Properties of θ-Open Sets, Divulgaciones Matem´aticas, vol. 12, N. 2, pp. 161–169 (2004).
  12. Á. Császár, On the γ-Interior and γ-Closure of a Set, Acta Math. Hungar., vol. 80, pp. 89–93 (1998).
  13. Á. Császár, Generalized Open Sets, Acta Math. Hungar., vol. 75, N. 1-2, pp. 65–87 (1997).
  14. S. -M. Jung and D. Nam, Some Properties of Interior and Closure in General Topology, Mathematics (MDPI Journal), vol. 7, N. 624, pp. 1–10 (2019).
  15. Y. Lei and J. Zhang, Generalizing Topological Set Operators, Electronic Notes in Theoretical Science, vol. 345, pp. 63–76 (2019).
  16. Á. Császár, Generalized Open Sets in Generalized Topologies, Acta Math. Hungar., vol. 106, N. 1-2, pp. 53–66 (2005).
  17. B. K. Tyagi, Harsh V. S. Chauhan, On Generalized Closed Sets in a Generalized Topological Spaces, CUBO A Mathematical Journal, vol. 18, N. 1, pp. 27–45 (2016).
  18. Á. Császár, Further Remarks on the Formula for γ-Interior, Acta Math. Hungar., vol. 113, N. 4, pp. 325–332 (2006).
  19. S. Modak Some Points on Generalized Open Sets, Caspian Journal of Mathematical Sciences (CJMS), vol. 6, N. 2, pp. 99–106 (2017).
  20. D. Saravanakumar, N. Kalaivani and G. S. S. Krishnan, On ˜μ-Open Sets in Generalized Topological Spaces, Malaya J. Mat., vol. 3, pp. 268–276 (2015).
  21. I. Z. Kleiner, Closure and Boundary Operators in Topological Spaces, Ukr Math. J., vol. 29, pp. 295–296 (1977).
  22. R. Jamunarani, P. Jeyanthi and M. Velrajan, More on λκ-Closed Sets in Generalized Topological Spaces, Journal of Algorithms and Computations, vol. 45, pp. 35–41 (2014).
  23. R. Khayyeri and R. Mohamadian, On Base for Generalized Topological Spaces, Int. J. Contemp. Math. Sciences, vol. 6, N. 48, pp. 2377–2383 (2011).
  24. C. Boonpok, (ζ, δ (μ))-Closed Sets in Strong Generalized Topological Spaces, Cogent Mathematics & Statistics, vol. 5, N. 1517428, pp. 1–45 (2018).
  25. M. I. Khodabocus, A Generalized Topological Space endowed with Generalized Topologies, PhD Dissertation, University of Mauritius, R´eduit, Mauritius (2020).
  26. M. I. Khodabocus, N. -U. -H. Sookia, Theory of Generalized Connectedness (g-Tg-Connectedness) in Generalized Topological Spaces (Tg-Spaces), Journal of Universal Mathematics, vol. 6, N. 1, pp. 1-38 (2023).
  27. M. I. Khodabocus, N. -U. -H. Sookia, Theory of Generalized Compactness in Generalized Topological Spaces: Part II. Countable, Sequential and Local Properties, Fundamentals of Contemporary Mathematical Sciences, vol. 3, N. 2, pp. 98-118 (2022).
  28. M. I. Khodabocus, N. -U. -H. Sookia, Theory of Generalized Compactness in Generalized Topological Spaces: Part I. Basic Properties, Fundamentals of Contemporary Mathematical Sciences, vol. 3, N. 1, pp. 26-45 (2022).
  29. M. I. Khodabocus, N. -U. -H. Sookia, Theory of Generalized Separation Axioms in Generalized Topological Spaces, Journal of Universal Mathematics, vol. 5, N. 1, pp. 1-23 (2022).
  30. M. I. Khodabocus, N. -U. -H. Sookia, Theory of Generalized Sets in Generalized Topological Spaces, Journal of New Theory, vol. 36, pp. 18-38 (2021).
  31. Á. Császár, On the γ-Interior and γ-Closure of a Set, Acta Math. Hungar., vol. 80, pp. 89–93 (1998).
  32. Á. Császár, Generalized Open Sets, Acta Math. Hungar., vol. 75, N. 1-2, pp. 65–87 (1997).
  33. Á. Császár, Generalized Open Sets in Generalized Topologies, Acta Math. Hungar., vol. 106, N. 1-2, pp. 53–66 (2005).
  34. Á. Császár, Further Remarks on the Formula for γ-Interior, Acta Math. Hungar., vol. 113, N. 4, pp. 325–332 (2006).