SavedAdd your journal

Journals / Gümüşhane Üniversitesi Fen Bilimleri Dergisi / 2019 / Cilt: 9 - Sayı: 4

I-Sequentially Hausdorff Spaces

I-Dizisel Hausdorff Uzaylar

Hürmet Fulya AKIZ
Pages
628–632
Publication Date
2022-10-18
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

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

We also give the definition and some properties of a I-sequentially Hausdorff space, which is a wider structure than a Hausdorff space.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we first introduce the notions of I-sequentially continuous, I-sequentially open and I-sequentially closed functions.
📊
Key Findings & Data:In this study, we first introduce the notions of I-sequentially continuous, I-sequentially open and I-sequentially closed functions.
💡
Conclusion & Impact:We also give the definition and some properties of a I-sequentially Hausdorff space, which is a wider structure than a Hausdorff space.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Hausdorff uzaylar · I-dizisel açık küme · I-dizisel kapalı küme

Abstract

In this study, we first introduce the notions of I-sequentially continuous, I-sequentially open and I-sequentially closed functions. We also give the definition and some properties of a I-sequentially Hausdorff space, which is a wider structure than a Hausdorff space.

Özet

Bu çalışmada öncelikle I-dizisel sürekli, I-dizisel açık ve I-dizisel kapalı fonksiyonlar tanıtılmıştır. Daha sonra, Hausdorff uzaylardan daha geniş bir yapı olan I-dizisel Hausdorff uzayların tanımı ve bazı özellikleri verilmiştir.

🔖

Cite This Article

AKIZ, H. F. (2022). I-Sequentially Hausdorff Spaces. Gümüşhane Üniversitesi Fen Bilimleri Dergisi, Cilt: 9 - Sayı: 4, 628–632. https://ajindex.com/articles/527008

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (18)

  1. Akız, H. F. ve Koçak, L., 2019. Sequentially Hausdorff and Full Sequentially Hausdorff Spaces, Commun. Fac. Sci. Univ. Ank. Series A1, 68 (2), 1724-1732.
  2. Banerjee, A. K. ve Banerjee, A., 2015. A Note On I-Convergence and I*-Convergence of Sequences and Nets In Topological Spaces, Matematicki Vesnik, 67(3), 212-221.
  3. Çakallı, H., 2011.
  4. On G-continuity, Comput. Math. Appl., 61, 313-318.
  5. Çakallı, H., 2012. Sequential definitions of connectedness, Appl. Math. Lett., 25, 461-465.
  6. Çakallı, H. ve Mucuk, O., 2013. On connectedness via a sequential method, Revista de la Union Matematica Argentina, 54 (2), 101-109.
  7. Fast, H., 1951.
  8. Sur la convegence statistique, Collog. Math. 2, 241-244.
  9. Halberstem, H. ve Roth, K. F., 1993.
  10. Sequences, Springer, New York. Kostyrko, P., Šalát, T. ve Wilczynski, W., 2001.
  11. I-convergence, Real Analysis Exch. 26 (2), 669–686.
  12. Kostyrko, P., Mačaj, M., Šalát, T. ve Sleziak, M., 2005. I-convergence and a extermal I-limit points, Math. Slovaca, 55 (4),443-464.
  13. Lahiri, B. K. ve Das, P., 2005. I and I*-convergence in topological spaces, Math. Bohemica, 130 (2), 153–160. Mucuk O., 2010.
  14. Topoloji ve Kategori, Nobel Yayınları, Ankara. Mucuk O. ve Şahan T., 2014.
  15. On G-Sequential Continuity, Filomat, vol.28, 1181-1189.
  16. Niven, I. ve Zuckerman, H. S., 1980. An introduction to the theory of numbers. 4th Ed., John Wiley, New York. Pal, S. K., 2014.
  17. I-Sequential Topological Spaces, Applied Mathematics E-notes, 14, 236-241.
  18. Schoenberg, I. J., 1959. The integrability of certain function and related summability methods. Am. Math. Mon. 66, 361–375.