On some topological sets
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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.
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