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On the Topology of $\delta_{\omega}$-Open Sets and Related Topics

Yıl 2022, Cilt: 10 Sayı: 1, 203 - 209, 15.04.2022

Öz

The main purpose of this paper is to study the notion of the δωδω-open sets defined by Al-Jarrah et al via δωδω-closure operator in [4]. We give various properties of the notions of δωδω-closure operator and δωδω-open set. Also, we introduce the notions of δωδω-continuity, ωω-δδ-continuity and weakly δωδω-continuity by means of δωδω-open sets [4]. Furthermore, we obtain several relationships, examples and counter-examples related to new classes of functions.

Destekleyen Kurum

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Proje Numarası

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Teşekkür

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Kaynakça

  • [1] S. Al Ghour, Certain covering properties related to paracompactness, Ph.D. thesis, University of Jordan, Amman, Jordan, (1999).
  • [2] S. Al Ghour and B. Irshedat, The topology of $\theta_{\omega}$-open sets, Filomat 31 (16) (2017), 5369-5377.
  • [3] S. Al Ghour and B. Irshedat, On $\theta_{\omega}$-continuity, Heliyon, 6 (2) (2020).
  • [4] H.H. Al-Jarrah, A. Al-Rawshdeh, E.M. Al-Saleh, K.Y. Al-Zoubi, Characterizations of $R_{\omega}O(X)$ sets by using $\delta_{\omega}$-cluster points, Novi. Sad. J. Math., 2 (2019), 109-122.
  • [5] K.Y. Al-Zoubi and B. Al-Nashef, The topology of $\omega$-open subsets, Al-Manarah Journal, 9 (2003), 169-179.
  • [6] K.Y. Al-Zoubi, On generalized $\omega$-open sets, Int. J. Math. Math. Sci., 13 (2005), 2011-2021.
  • [7] H.Z. Hdeib, $\omega$-closed mappings, Rev. Colombiana Mat., 16 (1982), 65-78.
  • [8] N. Levine, A decomposition of continuity in topological spaces, Amer. Math. Monthly. 68 (1961), 44-46.
  • [9] T. Noiri, On $\delta$-continuous Functions, J. Korean Math. Soc. 16 (2) (1979), 161-166.
  • [10] C.M. Pareek, Hereditarily Lindelöf and hereditarily almost Lindelöf spaces, Math. Japon. 30 (1985), 635-639.
  • [11] M.H. Stone, Applications of the theory of Boolean rings to general topology, Trans. Amer. Math. Soc. 41 (1937), 375-381.
  • [12] N.V. Velicko, $H$-closed topological spaces, Amer. Math. Soc. Transl. 78 (2) (1968), 103-118.
Yıl 2022, Cilt: 10 Sayı: 1, 203 - 209, 15.04.2022

Öz

Proje Numarası

-

Kaynakça

  • [1] S. Al Ghour, Certain covering properties related to paracompactness, Ph.D. thesis, University of Jordan, Amman, Jordan, (1999).
  • [2] S. Al Ghour and B. Irshedat, The topology of $\theta_{\omega}$-open sets, Filomat 31 (16) (2017), 5369-5377.
  • [3] S. Al Ghour and B. Irshedat, On $\theta_{\omega}$-continuity, Heliyon, 6 (2) (2020).
  • [4] H.H. Al-Jarrah, A. Al-Rawshdeh, E.M. Al-Saleh, K.Y. Al-Zoubi, Characterizations of $R_{\omega}O(X)$ sets by using $\delta_{\omega}$-cluster points, Novi. Sad. J. Math., 2 (2019), 109-122.
  • [5] K.Y. Al-Zoubi and B. Al-Nashef, The topology of $\omega$-open subsets, Al-Manarah Journal, 9 (2003), 169-179.
  • [6] K.Y. Al-Zoubi, On generalized $\omega$-open sets, Int. J. Math. Math. Sci., 13 (2005), 2011-2021.
  • [7] H.Z. Hdeib, $\omega$-closed mappings, Rev. Colombiana Mat., 16 (1982), 65-78.
  • [8] N. Levine, A decomposition of continuity in topological spaces, Amer. Math. Monthly. 68 (1961), 44-46.
  • [9] T. Noiri, On $\delta$-continuous Functions, J. Korean Math. Soc. 16 (2) (1979), 161-166.
  • [10] C.M. Pareek, Hereditarily Lindelöf and hereditarily almost Lindelöf spaces, Math. Japon. 30 (1985), 635-639.
  • [11] M.H. Stone, Applications of the theory of Boolean rings to general topology, Trans. Amer. Math. Soc. 41 (1937), 375-381.
  • [12] N.V. Velicko, $H$-closed topological spaces, Amer. Math. Soc. Transl. 78 (2) (1968), 103-118.
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Articles
Yazarlar

Pınar Şaşmaz Bu kişi benim 0000-0002-3383-7128

Murad Özkoç 0000-0003-0068-7415

Proje Numarası -
Yayımlanma Tarihi 15 Nisan 2022
Gönderilme Tarihi 5 Mayıs 2021
Kabul Tarihi 2 Aralık 2021
Yayımlandığı Sayı Yıl 2022 Cilt: 10 Sayı: 1

Kaynak Göster

APA Şaşmaz, P., & Özkoç, M. (2022). On the Topology of $\delta_{\omega}$-Open Sets and Related Topics. Konuralp Journal of Mathematics, 10(1), 203-209.
AMA Şaşmaz P, Özkoç M. On the Topology of $\delta_{\omega}$-Open Sets and Related Topics. Konuralp J. Math. Nisan 2022;10(1):203-209.
Chicago Şaşmaz, Pınar, ve Murad Özkoç. “On the Topology of $\delta_{\omega}$-Open Sets and Related Topics”. Konuralp Journal of Mathematics 10, sy. 1 (Nisan 2022): 203-9.
EndNote Şaşmaz P, Özkoç M (01 Nisan 2022) On the Topology of $\delta_{\omega}$-Open Sets and Related Topics. Konuralp Journal of Mathematics 10 1 203–209.
IEEE P. Şaşmaz ve M. Özkoç, “On the Topology of $\delta_{\omega}$-Open Sets and Related Topics”, Konuralp J. Math., c. 10, sy. 1, ss. 203–209, 2022.
ISNAD Şaşmaz, Pınar - Özkoç, Murad. “On the Topology of $\delta_{\omega}$-Open Sets and Related Topics”. Konuralp Journal of Mathematics 10/1 (Nisan 2022), 203-209.
JAMA Şaşmaz P, Özkoç M. On the Topology of $\delta_{\omega}$-Open Sets and Related Topics. Konuralp J. Math. 2022;10:203–209.
MLA Şaşmaz, Pınar ve Murad Özkoç. “On the Topology of $\delta_{\omega}$-Open Sets and Related Topics”. Konuralp Journal of Mathematics, c. 10, sy. 1, 2022, ss. 203-9.
Vancouver Şaşmaz P, Özkoç M. On the Topology of $\delta_{\omega}$-Open Sets and Related Topics. Konuralp J. Math. 2022;10(1):203-9.
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