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Journals / Mathematical Sciences and Applications E-Notes / 2016 / Cilt: 4 - Sayı: 1

γb-sets and γb-continuous functions

Aynur Keskin KAYMAKCI
Pages
1–5
Publication Date
2016-04-15
DOI
—
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AI Summary & Key Takeaways

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

Besides, γb-sets and γb-continuity are used to extend known results for b-open sets and b-continuity.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:First of all we introduce a new class of sets is called γb-sets and a new type of continuous functions is called γb-continuous functions.
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Key Findings & Data:Then, we investigate some properties and characterizations.
💡
Conclusion & Impact:Besides, γb-sets and γb-continuity are used to extend known results for b-open sets and b-continuity.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:γb-sets · b-open sets · γb-continuity

Abstract

First of all we introduce a new class of sets is called γb-sets and a new type of continuous functions is called γb-continuous functions. Then, we investigate some properties and characterizations. Besides, γb-sets and γb-continuity are used to extend known results for b-open sets and b-continuity.

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Cite This Article

KAYMAKCI, A. K. (2016). γb-sets and γb-continuous functions. Mathematical Sciences and Applications E-Notes, Cilt: 4 - Sayı: 1, 1–5. https://ajindex.com/articles/690751

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References (10)

  1. Andrijevic, D., On b-open sets. Mat. Vesnik 48 (1996), 59-64
  2. Crossley, S. G. and Hildebrand, S. K., Semi-topological properties. Fund. Math. 74 (1972), 233-254
  3. Ekici, E. and Caldas, M., Slightly γ-continuous functions. Bol. Soc. Paran. Math. (3s) 22 (2004), no.2, 63-74
  4. El-Atik, A. A., A study on some types of mappings on topological spaces. M. Sc. Thesis, Tanta University, Egypt, 1997
  5. Levine, N., Semi-open sets and semi-continuity in topological spaces. Amer. Math. Monthly 70 (1963), 36-41
  6. Maheswari, S. N. and Thakur, S. S., On α-irresolute mappings. Tamkang J. Math. 11 (1980), 209-214
  7. Mashhour, A. S., Abd El-Monsef, M. E. and El-Deeb, S. N., On precontinuous and weak precontinuous mappings. Proc. Math. Phys. Soc. Egypt 53 (1982), 47-53
  8. Mashhour, A. S., Hasanein, I. A. and El-Deeb, S. N., α-continuous and α-open mappings. Acta Math. Hungar. 41 (1983), no. 3-4, 213-218
  9. Nijastad, O., On some classes of nearly open sets. Pacific J. Math. 15 (1965), no. 3, 961-970
  10. Reilly, I. L. and Vamanamurthy, M. K., On α-continuity in topological spaces. Acta Math. Hungar. 45 (1985), no. 1-2, 27-32.