SavedAdd your journal

Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2019 / Cilt: 68 - Sayı: 2

Sequentially Hausdorff and full sequentially Hausdorff spaces

Hürmet Fulya AKIZ
Lokman KOÇAK
Pages
1724–1732
Publication Date
2019-08-01
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)

Also we give the relationships between these notions and Hausdorffness.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we define the notions of sequentially Hausdorff Space and full sequentially Hausdorff space.
📊
Key Findings & Data:In this paper, we define the notions of sequentially Hausdorff Space and full sequentially Hausdorff space.
💡
Conclusion & Impact:Also we give the relationships between these notions and Hausdorffness.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:. Hausdorff space · sequential space · sequentially open

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.

🔖

Cite This Article

AKIZ, H. F., KOÇAK, L. (2019). Sequentially Hausdorff and full sequentially Hausdorff spaces. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 68 - Sayı: 2, 1724–1732. https://ajindex.com/articles/746945

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (14)

  1. Brown, R., Topology and groupoids, Booksurge PLC, 2006.
  2. Mucuk, O., Topoloji ve Kategori, Nobel Yayınları, Ankara, 2011.
  3. Rotman, J. J., An Introduction to Algebraic Topology, Springer-Verlag, New York Inc., 460 pages, 1988.
  4. 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).
  5. Fedeli, A. and Le Donne, A., On good connected preimages, Topology and its Applications, 125 (2002).
  6. Huang, Q. and Lin, S., Notes on sequentially connected spaces, Acta Mathematica Hungarica, 110, 1-2 (2006).
  7. Çakallı H. and Mucuk O., On Connectedness Via A Sequential Method, Revista de la union Matematica Argentina, vol.54, (2013), 101-109.
  8. Çakallı, H., Sequential definitions of compactness, Applied Mathematics Letters., 21, 6, (2008), 594-598.
  9. Çakallı, H., Sequential definitions of connectedness, Applied Mathematics Letters., 25, (2012), 461-465.
  10. Çakallı, H., On G-continuity, Comput. Math. Appl., 61, (2011), 313-318.
  11. Huang, Q. and Lin, S., Notes on sequentially connected spaces, Acta Mathematica Hungarica, 110, 1-2, (2006), 158-164.
  12. Franklin, S. P., Spaces in which sequences suffice, Fundamenta Mathematicae, volume 57, (1965).
  13. Arhangel'skii, A. V. and Franklin, S. P., Ordinal invariants for topological spaces, Michigan Math. J. 15 (3) (1968).
  14. Mucuk O. and Şahan T., On G-Sequential Continuity, Filomat, vol.28, (2014), 1181-1189.