Dergiler / Cankaya University Journal of Science and Engineering / 2020 / Cilt: 17 - Sayı: 2

Convergence of the Associated Filters via Set-Operators

Sayfa
101–107
Yayın Tarihi
2020-11-01
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In this paper, we define several set-operators on an ideal topological space (X, τ, I) and investigate the relationship between the set-operators and limit points of the associated filter FI.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Let (X, τ) be a topological space.
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Temel Bulgular & Veri:For a proper ideal I on (X, τ), the associated filter FI is defined and investigated in [1].
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Sonuç & Katkı:In this paper, we define several set-operators on an ideal topological space (X, τ, I) and investigate the relationship between the set-operators and limit points of the associated filter FI.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:ideal · Filter · Associated filter

Abstract

Let (X, τ) be a topological space. For a proper ideal I on (X, τ), the associated filter FI is defined and investigated in [1]. In this paper, we define several set-operators on an ideal topological space (X, τ, I) and investigate the relationship between the set-operators and limit points of the associated filter FI.

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Bu Makaleye Atıf Yap

NOİRİ, T., SELIM, S., MODAK, S. (2020). Convergence of the Associated Filters via Set-Operators. Cankaya University Journal of Science and Engineering, Cilt: 17 - Sayı: 2, 101–107. https://ajindex.com/articles/745986

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Kaynakça (15)

  1. Sk. Selim, T. Noiri, S. Modak, “Ideals and the associated filters on topological spaces,” Eurasian Bulletin of Mathematics, vol. 2(3), pp. 80-85, 2019
  2. D. Janković, T. R. Hamlett, “New topologies from old via ideals,” The American Mathematical Monthly, vol. 97, pp. 295-310, 1990
  3. T. Natkaniec, “On I-continuity and I-semicontinuity points,” Mathematica Slovaca, vol. 36(3), pp. 297-312, 1986
  4. K. Kuratowski, Topology, Vol. I, New York, Academic Press, 1966
  5. E. Hayashi, “Topologies defined by local properties,” Mathematische Annalen, vol. 156, pp. 205-215, 1964
  6. H. Hashimoto, “On the  -topology and its applications,” Fundamenta Mathematicae, vol. 91, pp. 5-10, 1976
  7. T. R. Hamlett, D. Janković, “Ideals in topological spaces and the set operator Ψ,” Bollettino dell'Unione Matematica Italiana., vol. 7, no. (4-B), pp. 863-874, 1990
  8. S. Modak, “Some new topologies on ideal topological spaces,” Proceedings of the National Academy of Sciences, India, Sect. A Phys. Sci., vol. 82(3), pp. 233-243, 2012
  9. P. Samuel, “A topology formed from a given topology and ideal,” Journal of the London Mathematical Society, vol.10, pp. 409-416, 1975
  10. A. Al-Omari, H. Al-Saadi, “A topology via ω-local functions in ideal spaces,” Mathematica, vol. 60(83), pp. 103-110, 2018
  11. C. Bandhopadhya, S. Modak, “A new topology via Ψ-operator,” Proceedings of the National Academy of Sciences, India, vol. 76(A), no. IV, pp. 317-320, 2006
  12. S. Modak, C. Bandyopadhyay, “A note on Ψ-operator,” Bulletin of the Malaysian Mathematical Sciences Society, vol. 30(1), 43-48, 2007
  13. K. D. Joshi, Introduction to General Topology, Michigan: Wiley, 1983
  14. N. Bourbaki, General Topology, Chapter 1-4, Verlag, Berlin, Heidelberg: Springer, 1989
  15. S. Modak, Sk. Selim and Md. M. Islam, “Sets and functions in terms of local function,” Submitted.