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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2020 / Cilt: 69 - Sayı: 1

Compactness and stability in diframes

Esra KORKMAZ
Rıza ERTÜRK
Pages
97–111
Publication Date
2020-06-30
DOI
—
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AI Summary & Key Takeaways

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

Further, the bitopological concepts of locally compactness and locally stability are extended to diframes.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The concept of diframe was introduced as a generalization of ditopological texture spaces.
📊
Key Findings & Data:The purpose of this paper is to present the results of a study on the concepts of compactness and stability in the setting of diframes.
💡
Conclusion & Impact:Further, the bitopological concepts of locally compactness and locally stability are extended to diframes.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:diframe · compact · stable

Abstract

The concept of diframe was introduced as a generalization of ditopological texture spaces. The purpose of this paper is to present the results of a study on the concepts of compactness and stability in the setting of diframes. Further, the bitopological concepts of locally compactness and locally stability are extended to diframes.

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Cite This Article

KORKMAZ, E., ERTÜRK, R. (2020). Compactness and stability in diframes. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 69 - Sayı: 1, 97–111. https://ajindex.com/articles/746820

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References (10)

  1. Korkmaz E. and Ertürk R., On a new generalization of ditopological texture spaces, Journalof Intelligent & Fuzzy Systems, 35, No. 5 (2018), 5529-5539.
  2. Korkmaz E. and Ertürk R., Separation axioms in diframes, European Journal of Pure andApplied Mathematics, 11, No. 3 (2018) 612-627.
  3. Kopperman R., Asymmetry and duality in topology, Topology and its Applications, 66, No.1 (1995) 1-39.
  4. Johnstone P.T., Stone spaces, Cambridge University Press, 1986.
  5. Picado J. and Pultr A., Frames and locales. Topology without points, Springer Basel AG, 2012.
  6. Brown, L. M. and Diker M., Ditopological texture spaces and intuitionistic sets, Fuzzy setsand systems, 98, No. 2 (1998) 217-224.
  7. Brown, L. M. and Gohar M. M., Compactness in ditopological texture spaces, HacettepeJournal of Mathematics and Statistics, 38, No. 1 (2009) 21-43.
  8. Brown, L. M., Ertürk R., and Dost Ş., Ditopological texture spaces and fuzzy topology. III.Separation axioms, Fuzzy sets and systems, 157, No. 14 (2006) 1886-1912.
  9. Good, C., Kopperman R., and Yıldız F., Interpolating functions, Topology and its Applica-tions, 158, No. 4 (2011) 582-593.
  10. Picado J. and Pultr A., Frames and locales. Topology without points, Springer Basel AG,2012.