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Sequentially Hausdorff and full sequentially Hausdorff spaces

Year 2019, Volume: 68 Issue: 2, 1724 - 1732, 01.08.2019
https://doi.org/10.31801/cfsuasmas.424418

Abstract

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.

References

  • 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.
Year 2019, Volume: 68 Issue: 2, 1724 - 1732, 01.08.2019
https://doi.org/10.31801/cfsuasmas.424418

Abstract

References

  • 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.
There are 15 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Review Articles
Authors

Hürmet Fulya Akız 0000-0002-8547-2175

Lokman Koçak This is me 0000-0002-1349-8915

Publication Date August 1, 2019
Submission Date May 17, 2018
Acceptance Date February 13, 2019
Published in Issue Year 2019 Volume: 68 Issue: 2

Cite

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. August 2019;68(2):1724-1732. doi:10.31801/cfsuasmas.424418
Chicago Akız, Hürmet Fulya, and Lokman Koçak. “Sequentially Hausdorff and Full Sequentially Hausdorff Spaces”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68, no. 2 (August 2019): 1724-32. https://doi.org/10.31801/cfsuasmas.424418.
EndNote Akız HF, Koçak L (August 1, 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 and L. Koçak, “Sequentially Hausdorff and full sequentially Hausdorff spaces”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 68, no. 2, pp. 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 (August 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 and Lokman Koçak. “Sequentially Hausdorff and Full Sequentially Hausdorff Spaces”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 68, no. 2, 2019, pp. 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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I-Dizisel Hausdorff Uzaylar
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https://doi.org/10.17714/gumusfenbil.548506

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

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