Sequentially Hausdorff and full sequentially Hausdorff spaces

Year 2019, Volume: 68 Issue: 2, 1724 - 1732, 01.08.2019

Hürmet Fulya Akız , Lokman Koçak

https://doi.org/10.31801/cfsuasmas.424418

Cited By: 1

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.

Keywords

. Hausdorff space, sequential space, sequentially open

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.