Journals / Anadolu Üniversitesi Bilim ve Teknoloji Dergisi :B-Teorik Bilimler / 2017 / Cilt: 5 - Sayı: 2

ON ALMOST 𝒆-CONTINUITY IN TOPOLOGICAL SPACES

TOPOLOJİK UZAYLARDA HEMEN HEMEN 𝒆-SÜREKLİLİK ÜZERİNE

Pages
148–160
Publication Date
2022-10-12
DOI
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AI Summary & Key Takeaways

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

Moreover, we look into some basic properties between this notion and separation axioms.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The main purpose of this study is to investigate the characterizations of almost 𝑒-continuous functions defined by Ekici and to obtain some fundamental properties related to this concept.
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Key Findings & Data:In addition, we investigate not only some of its fundamental properties but also its relations with other types of already existing topological functions.
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Conclusion & Impact:Moreover, we look into some basic properties between this notion and separation axioms.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The main purpose of this study is to investigate the characterizations of almost 𝑒-continuous functions defined by Ekici and to obtain some fundamental properties related to this concept. In addition, we investigate not only some of its fundamental properties but also its relations with other types of already existing topological functions. Moreover, we look into some basic properties between this notion and separation axioms.

Özet

Bu çalışmanın esas amacı, Ekici tarafından tanımlanan hemen hemen 𝑒-sürekli fonksiyonların karakterizasyonlarını araştırmakve bu kavrama ilişkin bazı temel özellikler elde etmektir. Ayrıca hemen hemen 𝑒-süreklilik kavramının sadece bazı temelözellikleri değil aynı zamanda literatürde bulunan diğer birçok fonksiyon tipleri ile aralarındaki ilişkiler incelenmiştir. Dahasıbu kavram ile ayırma aksiyomları arasındaki bazı temel özellikler de araştırılmıştır.

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Cite This Article

ÖZKOÇ, M. (2022). ON ALMOST 𝒆-CONTINUITY IN TOPOLOGICAL SPACES. Anadolu Üniversitesi Bilim ve Teknoloji Dergisi :B-Teorik Bilimler, Cilt: 5 - Sayı: 2, 148–160. https://ajindex.com/articles/438550

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References (11)

  1. Ekici E. On 𝑒-open sets, 𝒟𝒫*-sets and 𝒟𝒫ℰ*-sets and decompositions of continuity. Arab J Sci Eng Sect A Sci 2008; 2: 269-282. Ekici E. New forms of contra continuity. Carpathian J Math 2008; 24(1): 37-45. Ekici E. On almost continuity. Kyungpook Math J 2006; 46: 119-130. Ekici E. On 𝑎-open sets, 𝐴∗-sets and decompositions of continuity and super-continuity. Annales Univ Sci Budapest Eötvös Sect Math 2008; 51: 39-51. Ekici E. On δ-semiopen sets and a generalization of functions. Boletim da Sociedade Paranaense de Matematica (3s.) 2005; 23(1-2): 73-84. Ekici E. On 𝑒∗-open sets and (D, S)∗-sets. Mathematica Moravica 2009; 13(1): 29-36. Ekici E. Some generalizatons of almost contra-super-continuity. Filomat 2007; 21(2): 31-44.
  2. Ekici E, Navalagi G.B. 𝛿-semicontinuous functions. Math Forum 2004-2005; 17: 29-42.
  3. Caldas M, Jafari S. On strongly faint 𝑒-continuous functions. Proyecciones J Math 2011; 30(1): 29-41. Caldas M. On the faintly 𝑒-continuous functions. Sarajevo J Math 2012; 8(20): 159-170.
  4. Özkoç M, Aslım G. On weakly 𝑒-continuous functions. Hacet J Math Stat 2011; 40(6): 781-791.
  5. Özkoç M, Aslım G. On strongly 𝜃-𝑒-continuous functions. Bull Korean Math Soc 2010; 47(5): 1025-1036.
  6. Singal MK, Singal AR. Almost-continuous mappings. Yokohama Math J 1968; 16: 63-73.
  7. Munshi BM, Bassan DS. Almost semi-continuous mappings. Math Student 1981; 49: 239-248. Noiri T. Almost 𝛼-continuous functions. Kyungpook Math J 1988; 28: 71-77. Popa V. Some properties of almost feebly continuous functions. Demonstratio Math 1990; 23: 985-991.
  8. Nasef AA, Noiri T. Some weak forms of almost continuity. Acta Math Hung 1997; 74: 211-219.
  9. Keskin A, Noiri T. Almost 𝑏-continuous functions. Chaos Soliton Fract 2009; 41: 72-81. Stone MH. Applications of the theory of Boolean rings to general topology. Trans Amer Math Soc 1937; 41: 375-381. Velicko NV. 𝐻-closed topological spaces. Amer Math Soc Transl Ser 2 1968; 78: 103-118.
  10. Long PE, Herrington LL. The 𝑇𝜃-topology and faint continuous functions. Kyungpook Math J 1982; 22: 7-14. Tong JC. A decomposition of continuity. Acta Math Hung 1986; 48: 11-15. Njastad O. On some classes of nearly open sets. Pac J Math 1965; 15: 961-970. Levine N. Semi-open sets and semi-continuity in topological spaces. Amer Math Monthly 1963; 70: 36-41.
  11. Mashhour AS, Abd-El Monsef ME, El-Deep SN. On precontinuous and weak precontinuous functions. Proc Math Phys Soc Egypt 1982; 51: 47-53. Andrijevic D. On 𝑏-open sets. Mat Vesnik 1996; 48: 59-64. El-Atik AA. A study on som