Research Article
BibTex RIS Cite

I-Dizisel Hausdorff Uzaylar

Year 2019, , 628 - 632, 15.10.2019
https://doi.org/10.17714/gumusfenbil.548506

Abstract

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.

References

  • 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.
  • 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.
  • Çakallı, H., 2011. On G-continuity, Comput. Math. Appl., 61, 313-318.
  • Çakallı, H., 2012. Sequential definitions of connectedness, Appl. Math. Lett., 25, 461-465.
  • Çakallı, H. ve Mucuk, O., 2013. On connectedness via a sequential method, Revista de la Union Matematica Argentina, 54 (2), 101-109.
  • Fast, H., 1951. Sur la convegence statistique, Collog. Math. 2, 241-244.
  • Halberstem, H. ve Roth, K. F., 1993. Sequences, Springer, New York.
  • Kostyrko, P., Šalát, T. ve Wilczynski, W., 2001. I-convergence, Real Analysis Exch. 26 (2), 669–686.
  • Kostyrko, P., Mačaj, M., Šalát, T. ve Sleziak, M., 2005. I-convergence and a extermal I-limit points, Math. Slovaca, 55 (4),443-464.
  • Lahiri, B. K. ve Das, P., 2005. I and I*-convergence in topological spaces, Math. Bohemica, 130 (2), 153–160.
  • Mucuk O., 2010. Topoloji ve Kategori, Nobel Yayınları, Ankara.
  • Mucuk O. ve Şahan T., 2014. On G-Sequential Continuity, Filomat, vol.28, 1181-1189.
  • Niven, I. ve Zuckerman, H. S., 1980. An introduction to the theory of numbers. 4th Ed., John Wiley, New York.
  • Pal, S. K., 2014. I-Sequential Topological Spaces, Applied Mathematics E-notes, 14, 236-241.
  • Schoenberg, I. J., 1959. The integrability of certain function and related summability methods. Am. Math. Mon. 66, 361–375.

I-Sequentially Hausdorff Spaces

Year 2019, , 628 - 632, 15.10.2019
https://doi.org/10.17714/gumusfenbil.548506

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.

References

  • 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.
  • 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.
  • Çakallı, H., 2011. On G-continuity, Comput. Math. Appl., 61, 313-318.
  • Çakallı, H., 2012. Sequential definitions of connectedness, Appl. Math. Lett., 25, 461-465.
  • Çakallı, H. ve Mucuk, O., 2013. On connectedness via a sequential method, Revista de la Union Matematica Argentina, 54 (2), 101-109.
  • Fast, H., 1951. Sur la convegence statistique, Collog. Math. 2, 241-244.
  • Halberstem, H. ve Roth, K. F., 1993. Sequences, Springer, New York.
  • Kostyrko, P., Šalát, T. ve Wilczynski, W., 2001. I-convergence, Real Analysis Exch. 26 (2), 669–686.
  • Kostyrko, P., Mačaj, M., Šalát, T. ve Sleziak, M., 2005. I-convergence and a extermal I-limit points, Math. Slovaca, 55 (4),443-464.
  • Lahiri, B. K. ve Das, P., 2005. I and I*-convergence in topological spaces, Math. Bohemica, 130 (2), 153–160.
  • Mucuk O., 2010. Topoloji ve Kategori, Nobel Yayınları, Ankara.
  • Mucuk O. ve Şahan T., 2014. On G-Sequential Continuity, Filomat, vol.28, 1181-1189.
  • Niven, I. ve Zuckerman, H. S., 1980. An introduction to the theory of numbers. 4th Ed., John Wiley, New York.
  • Pal, S. K., 2014. I-Sequential Topological Spaces, Applied Mathematics E-notes, 14, 236-241.
  • Schoenberg, I. J., 1959. The integrability of certain function and related summability methods. Am. Math. Mon. 66, 361–375.
There are 15 citations in total.

Details

Primary Language Turkish
Subjects Engineering
Journal Section Articles
Authors

Hürmet Fulya Akız 0000-0002-8547-2175

Publication Date October 15, 2019
Submission Date April 3, 2019
Acceptance Date June 3, 2019
Published in Issue Year 2019

Cite

APA Akız, H. F. (2019). I-Dizisel Hausdorff Uzaylar. Gümüşhane Üniversitesi Fen Bilimleri Dergisi, 9(4), 628-632. https://doi.org/10.17714/gumusfenbil.548506