On some topological sets
Downloads
DOI:
https://doi.org/10.26637/MJM0604/0022Abstract
In this paper, we study semi-open, pre-open, α -open and β -open sets, and obtain some relations between them.
Keywords:
Semi-open, pre-open, α-open, β-openMathematics Subject Classification:
Mathematics- Pages: 850-853
- Date Published: 01-10-2018
- Vol. 6 No. 04 (2018): Malaya Journal of Matematik (MJM)
D. Andrijević, Semi-preopen sets, Mat. Vesnik, 38(1986), $24-32$.
M. E. Abd El-Monsef, S. N. El-Deeb and R. A. Mahmoud, $beta$-open sets and $beta$-continuous mapping, Bull. Fac. Sci. Assiut Univ, 12(1983), 77-90.
H. H. Corson and E. Michael, Metrizability of certain countable unions, Illinois J. Math, 8(1964), 351-360.
S. G. Crossley and S. K. Hildebrandt, Semi-closure, Texas J. Sci, 22(1971), 99-112.
K. P. Hart, J. Nagata and J. E. Vaughan, Encyclopedia of general topology, Elsevier Science Ltd, Amsterdam, 2004
Y. B. Jun, S. W. Jeong, H. J. Lee and J. W. Lee, Applications of pre-open sets, Appl. Gen. Topol, 9(2008), $213-228$
L. D. R. Kočinak, A. Sabah, M. D. Khan and D. Seba, Semi-Hurewicz spaces, Hacet. J. Math. Stat, 46(1)(2017), $53-66$.
N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, $70(1963), 36-41$.
O. Njăstad, On some classes of nearly open sets, Pacific J. Math, 15(1965), 961-970.
A. S. Mashhour, M. E. Abd El-Monsef and S. N. El-Deeb, On precontinuous and weak precontinuous mappings, Proc. Math. Phy. Soc. Egypt, 53(1982), 47-53.
A. Mukharjee, A. Roy Choudhury and M. K. Bose, On some weaker and stronger versions of compactness, $A n$. Univ. Oradea Fasc. Mat, 25(2)(2018), 121-125.
A. Sabah, M. D. Khan and L. D. R. Kočinak, Covering Properties defined by semi-open sets, J. Nonlinear Sci. Appl, 9(2016), 4388-4398.
Similar Articles
- Seydi Battal Gazi Karakoc, Numerical solutions of the modified KdV Equation with collocation method , Malaya Journal of Matematik: Vol. 6 No. 04 (2018): Malaya Journal of Matematik (MJM)
You may also start an advanced similarity search for this article.
Metrics
Published
How to Cite
Issue
Section
License
Copyright (c) 2018 MJM

This work is licensed under a Creative Commons Attribution 4.0 International License.