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Regularity and normality in hereditary bi m-spaces

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Języki publikacji
EN
Abstrakty
EN
Quite recently, a new minimal structure m⋆H and an mn - Hg -closed set have been introduced in a previous study [T. Noiri and V. Popa, Closed sets in hereditary bi m-spaces, Questions Answers General Topol. 38 (2020), 133–142] by using two minimal structures m, n and a hereditary class H . In this paper, we introduce and investigate the notions of (m,n) - H⋆g -regularity and (m,n) - H⋆g -normality in a hereditary bi m-space (X,m,n,H) .
Wydawca
Rocznik
Strony
226--237
Opis fizyczny
Bibliogr. 22 poz.
Twórcy
  • Department of Mathematics, Faculty of Sciences, Al al-Bayt University, P.O. Box 130095, Mafraq 25113, Jordan
  • Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, Jordan
  • 2949-1 Shiokita-cho, Hinagu, Yatsushiro-shi, Kumamoto-ken, 869-5142 JapanBibliogr. 22 poz.
Bibliografia
  • [1] V. Popa and T. Noiri, On M-continuous functions, An. Univ. Dunarea de Jos Galati, Ser. Mat. Fiz. Mec. Teor. (2) 43(23) (2000), 31–41.
  • [2] O. B. Ozbakir and E. D. Yildirim, On some closed sets in ideal minimal spaces, Acta Math. Hungar. 125 (2009), 227–235, DOI: https://doi.org/10.1007/s10474-009-8240-9.
  • [3] T. Noiri and V. Popa, Generalizations of closed sets in minimal spaces with hereditary classes, Anal. Univ. Sci. Budapest 61 (2018), 69–83.
  • [4] T. Noiri, The further unified theory for modifications of g-closed sets, Rend. Circ. Mat. Palermo 57 (2008), 411–421, DOI: https://doi.org/10.1007/s12215-008-0030-7.
  • [5] T. Noiri and V. Popa, Closed sets in hereditary bi m-spaces, Questions Answers General Topol. 38 (2020), 133–142.
  • [6] B. M. Munshi, Separation axioms, Acta Ciencia Indica 12 (1986), 140–144.
  • [7] J. Sanabria, E. Rosas, and C. Carpintero, On regularity and normality via ideal minimal generalized closed sets, J. Adv. Res. Pure Math. 5 (2013), no. 2, 46–58.
  • [8] J. Sanabria, E. Rosas, C. Carpintero, and M. Salas-Brown, On the further unified theory of ideal generalized closed sets, J. Adv. Math. Stud. 4 (2011), no. 2, 83–96.
  • [9] A. Al-Omari and T. Noiri, Generalizations of Lindelöf spaces via hereditary classes, Acta Univ. Sapientie Math. 13 (2021), no. 1, 281–291, DOI: https://doi.org/10.2478/ausm-2021-0017.
  • [10] A. Al-Omari and T. Noiri, Generalizations of regular and normal spaces II, Mathematica 63(86) (2021), no. 1, 3–12, DOI: https://doi.org/10.24193/mathcluj.2021.1.01.
  • [11] C. Carpintero, E. Rosas, M. Salas-Brown, I. Blanco, and M. Polo, Remarks on notions of μ∗-open sets, Creat. Math. Inform. 23 (2014), no. 1, 51–55, DOI: https://doi.org/10.37193/CMI.2014.01.13.
  • [12] C. Carpintero, E. Rosas, M. Salas-Brown, and J. Sanabria, μ-Compactness with respect to a hereditary class, Bol. Soc. Paran. Mat. 34 (2016), no. 2, 231–236, DOI: https://doi.org/10.5269/bspm.v34i2.27177.
  • [13] T. Noiri, A. Al-Omari, and M. S. M. Noorani, Weak forms of open and closed functions via b-θ-open sets, Demonstr. Math. 42 (2009), no. 1, 193–204, DOI: https://doi.org/10.1515/dema-2009-0118.
  • [14] T. Noiri and V. Popa, Between ∗-closed and g -closed sets in ideal topological spaces, Rend. Circ. Mat. Palermo 59 (2010), no. 2, 251–260, DOI: https://doi.org/10.1007/s12215-010-0018-y.
  • [15] H. Maki, K. C. Rao, and A. Nagoor Gani, On generalizing semi-open and preopen sets, Pure Appl. Math. Sci. 49 (1999), 17–29.
  • [16] Á. Császár, Modification of generalized topologies via hereditary classes, Acta Math. Hungar. 115 (2007), no. 1–2, 29–36, DOI: https://doi.org/10.1007/s10474-006-0531-9.
  • [17] D. Janković and T. R. Hamlett, New topologies from old via ideals, Amer. Math. Monthly 97 (1990), no. 4, 295–310, DOI: https://doi.org/10.1080/00029890.1990.11995593.
  • [18] J. Dontchev, M. Ganster, and T. Noiri, Unified operators approach of generalized closed sets via topological ideals, Math. Japan. 49 (1999), 395–401.
  • [19] N. Levine, Generalized closed sets in topology, Rend. Circ. Mat. Palermo 19 (1970), 89–96, DOI: https://doi.org/10.1007/BF02843888.
  • [20] M. Navaneethakrishnan, J. PaulrajJoseph, and D. Sivaraj, g -normal and g -regular spaces, Acta Math. Hungar. 125 (2009), no. 4, 327–340, DOI: https://doi.org/10.1007/s10474-009-9027-8.
  • [21] T. Noiri, A unified theory for modifications of g-closed sets, Rend. Circ. Mat. Palermo 56 (2007), 171–184, DOI: https://doi.org/10.1007/BF03031437.
  • [22] T. Noiri and V. Popa, On g-regular spaces and some functions, Mem. Fac. Sci. Kochi Univ. Ser. A. Math. 20 (1999), 67–74.
Uwagi
PL
Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-e7cfaa1f-522f-4dad-a401-6c6d5f66cc4d
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