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Sequentially Hausdorff and full sequentially Hausdorff spaces

Yıl 2019, Cilt: 68 Sayı: 2, 1724 - 1732, 01.08.2019
https://doi.org/10.31801/cfsuasmas.424418

Öz

In this paper, we define the notions of sequentially Hausdorff
Space and full sequentially Hausdorff space. Also we give the relationships
between these notions and Hausdorffness.

Kaynakça

  • Brown, R., Topology and groupoids, Booksurge PLC, 2006.
  • Mucuk, O., Topoloji ve Kategori, Nobel Yayınları, Ankara, 2011.
  • Rotman, J. J., An Introduction to Algebraic Topology, Springer-Verlag, New York Inc., 460 pages, 1988.
  • Massey W., S., Algebraic Topology: An Introduction, Springer-Verlag New York Inc., 553 pages, 1990.
  • Császár, Á., γ-connected sets, Acta Mathematica Hungarica., 101, 1-2, (2003).
  • Fedeli, A. and Le Donne, A., On good connected preimages, Topology and its Applications, 125 (2002).
  • Huang, Q. and Lin, S., Notes on sequentially connected spaces, Acta Mathematica Hungarica, 110, 1-2 (2006).
  • Çakallı H. and Mucuk O., On Connectedness Via A Sequential Method, Revista de la union Matematica Argentina, vol.54, (2013), 101-109.
  • Çakallı, H., Sequential definitions of compactness, Applied Mathematics Letters., 21, 6, (2008), 594-598.
  • Çakallı, H., Sequential definitions of connectedness, Applied Mathematics Letters., 25, (2012), 461-465.
  • Çakallı, H., On G-continuity, Comput. Math. Appl., 61, (2011), 313-318.
  • Huang, Q. and Lin, S., Notes on sequentially connected spaces, Acta Mathematica Hungarica, 110, 1-2, (2006), 158-164.
  • Franklin, S. P., Spaces in which sequences suffice, Fundamenta Mathematicae, volume 57, (1965).
  • Arhangel'skii, A. V. and Franklin, S. P. , Ordinal invariants for topological spaces, Michigan Math. J. 15 (3) (1968).
  • Mucuk O. and Şahan T., On G-Sequential Continuity, Filomat, vol.28, (2014), 1181-1189.
Yıl 2019, Cilt: 68 Sayı: 2, 1724 - 1732, 01.08.2019
https://doi.org/10.31801/cfsuasmas.424418

Öz

Kaynakça

  • Brown, R., Topology and groupoids, Booksurge PLC, 2006.
  • Mucuk, O., Topoloji ve Kategori, Nobel Yayınları, Ankara, 2011.
  • Rotman, J. J., An Introduction to Algebraic Topology, Springer-Verlag, New York Inc., 460 pages, 1988.
  • Massey W., S., Algebraic Topology: An Introduction, Springer-Verlag New York Inc., 553 pages, 1990.
  • Császár, Á., γ-connected sets, Acta Mathematica Hungarica., 101, 1-2, (2003).
  • Fedeli, A. and Le Donne, A., On good connected preimages, Topology and its Applications, 125 (2002).
  • Huang, Q. and Lin, S., Notes on sequentially connected spaces, Acta Mathematica Hungarica, 110, 1-2 (2006).
  • Çakallı H. and Mucuk O., On Connectedness Via A Sequential Method, Revista de la union Matematica Argentina, vol.54, (2013), 101-109.
  • Çakallı, H., Sequential definitions of compactness, Applied Mathematics Letters., 21, 6, (2008), 594-598.
  • Çakallı, H., Sequential definitions of connectedness, Applied Mathematics Letters., 25, (2012), 461-465.
  • Çakallı, H., On G-continuity, Comput. Math. Appl., 61, (2011), 313-318.
  • Huang, Q. and Lin, S., Notes on sequentially connected spaces, Acta Mathematica Hungarica, 110, 1-2, (2006), 158-164.
  • Franklin, S. P., Spaces in which sequences suffice, Fundamenta Mathematicae, volume 57, (1965).
  • Arhangel'skii, A. V. and Franklin, S. P. , Ordinal invariants for topological spaces, Michigan Math. J. 15 (3) (1968).
  • Mucuk O. and Şahan T., On G-Sequential Continuity, Filomat, vol.28, (2014), 1181-1189.
Toplam 15 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Hürmet Fulya Akız 0000-0002-8547-2175

Lokman Koçak Bu kişi benim 0000-0002-1349-8915

Yayımlanma Tarihi 1 Ağustos 2019
Gönderilme Tarihi 17 Mayıs 2018
Kabul Tarihi 13 Şubat 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 68 Sayı: 2

Kaynak Göster

APA Akız, H. F., & Koçak, L. (2019). Sequentially Hausdorff and full sequentially Hausdorff spaces. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(2), 1724-1732. https://doi.org/10.31801/cfsuasmas.424418
AMA Akız HF, Koçak L. Sequentially Hausdorff and full sequentially Hausdorff spaces. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. Ağustos 2019;68(2):1724-1732. doi:10.31801/cfsuasmas.424418
Chicago Akız, Hürmet Fulya, ve Lokman Koçak. “Sequentially Hausdorff and Full Sequentially Hausdorff Spaces”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68, sy. 2 (Ağustos 2019): 1724-32. https://doi.org/10.31801/cfsuasmas.424418.
EndNote Akız HF, Koçak L (01 Ağustos 2019) Sequentially Hausdorff and full sequentially Hausdorff spaces. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 2 1724–1732.
IEEE H. F. Akız ve L. Koçak, “Sequentially Hausdorff and full sequentially Hausdorff spaces”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 68, sy. 2, ss. 1724–1732, 2019, doi: 10.31801/cfsuasmas.424418.
ISNAD Akız, Hürmet Fulya - Koçak, Lokman. “Sequentially Hausdorff and Full Sequentially Hausdorff Spaces”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/2 (Ağustos 2019), 1724-1732. https://doi.org/10.31801/cfsuasmas.424418.
JAMA Akız HF, Koçak L. Sequentially Hausdorff and full sequentially Hausdorff spaces. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:1724–1732.
MLA Akız, Hürmet Fulya ve Lokman Koçak. “Sequentially Hausdorff and Full Sequentially Hausdorff Spaces”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 68, sy. 2, 2019, ss. 1724-32, doi:10.31801/cfsuasmas.424418.
Vancouver Akız HF, Koçak L. Sequentially Hausdorff and full sequentially Hausdorff spaces. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(2):1724-32.

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Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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