Journals / Sigma Mühendislik ve Fen Bilimleri Dergisi / 2020 / Cilt: 38 - Sayı: 2

β-SELECTION PROPERTIES IN DITOPOLOGICAL TEXTURE SPACES

Pages
1019–1029
Publication Date
2021-06-01
DOI
—
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

The subject of our investigation is also the preservation of β-Menger property under subspaces, products, and -continuous mappings.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the present paper, we continue previous investigations on the selection properties in ditopological texture spaces.
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Key Findings & Data:We introduce the β-Menger and β-Rothberger properties and examine some their properties in ditopological texture spaces.
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Conclusion & Impact:The subject of our investigation is also the preservation of β-Menger property under subspaces, products, and -continuous mappings.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:difunction · Ditopological texture space · difunction

Abstract

In the present paper, we continue previous investigations on the selection properties in ditopological texture spaces. We introduce the β-Menger and β-Rothberger properties and examine some their properties in ditopological texture spaces. The subject of our investigation is also the preservation of β-Menger property under subspaces, products, and -continuous mappings.

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Cite This Article

KULE, M., DOST, Ş. (2021). β-SELECTION PROPERTIES IN DITOPOLOGICAL TEXTURE SPACES. Sigma Mühendislik ve Fen Bilimleri Dergisi, Cilt: 38 - Sayı: 2, 1019–1029. https://ajindex.com/articles/418967

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References (20)

  1. M. E. Abd El-Monsef, S. N. El-Deeb and R. A. Mahmoud, β-open sets and β-continuous mappings, Bull. Fac. Sci., Assiut Univ. 12 (1983), 77-90
  2. T. Aho and T. Nieminen, Spaces in which preopen subsets are semiopen, Ricerche di Matematica 43 (1) (1994), 45-59
  3. D. Andrijević, Semi-preopen sets, Mat. Vesnik 38 (1986), 24-32
  4. Aqsa and M. ud Din Khan, On nearly Menger and nearly star Menger spaces, Filomat 33 (2019), 6219-6227
  5. L. M. Brown and M. Diker, Ditopological texture spaces and intuitionistic sets, Fuzzy Sets and Systems, 98 (1998) 217–224
  6. L.M. Brown and R. Ertürk, Fuzzy Sets as Texture Spaces, I. Representation Theorems, Fuzzy Sets and Systems, 110(2)(2000), 227-236
  7. L.M. Brown and R. Ertürk, Fuzzy sets as texture spaces, II. Subtextures and quotient textures, Fuzzy Sets and Systems 110(2)(2000), 237-245
  8. L. M. Brown, R. Ertürk and Ş. Dost, Ditopological texture spaces and fuzzy topology, I. Basic Concepts, Fuzzy Sets and Systems 147, No. 2 (2004) 171–199
  9. M. Caldas and S. Jafari, A new decomposition of β-open functions, Chaos Solitons & Fractals 40 (2009), 10-12
  10. M. Diker, Textural approach to rough sets based on relations, Inf. Sci. 180, No. 8 (2010) 1418–1433
  11. Ş. Dost, A textural view of soft fuzzy rough sets, J. Intell. Fuzzy Syst. 28 (2015), 2519-2535
  12. Ş. Dost, L. M. Brown and R. Ertürk, β-open and β-closed sets in ditopological setting, Filomat 481:24 (2) (2010) 11–26
  13. M. Ganster and D. Andrijevic, On some questions concerning semi-preopen sets, J. Inst. Math. & Comp. Sci. (Math. Ser.) 1 (2) (1988), 65-75
  14. Lj. D. R. Koc ̆inac, Variations of classical selection principles: An overview, Quaest. Math., (2019), in press (Doi: 10.2989/16073606.2019.1601646)
  15. Lj. D. R. Koc ̆inac, Generalized open sets and selection properties, Filomat 33 (2019), 1485-1493
  16. Lj. D. R. Koc ̆inac and S. Özçağ, Selection properties of texture structures, Topol. Appl. 192 (2015), 158-168
  17. Lj. D. R. Koc ̆inac and S. Özçağ, Hurewicz-type properties in texture structures, Topol. Appl. 221 (2017), 286-299
  18. M. Kule and Ş. Dost, A textural view of semi-separation axioms in soft fuzzy topological spaces, J. Intell. Fuzzy Syst. 30 (2016) 2037-2053
  19. N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70 (1963), 36-41
  20. A. S. Mashour, M. E. Abd El-Monsef and El-Deeb., On precontinuous and weak precontinuous mappings, Proc. Math. Phys. Soc. Egypt 53 (1982), 47-53