Comment on “T i -spaces I, II”
Tantawy, O., El-Sheikh, S., Majeed, R. (2016). Comment on “T i -spaces I, II”. EKB Journal Management System, 24(4), 582-584. doi: 10.1016/j.joems.2016.01.006
O. A. Tantawy; S. A. El-Sheikh; R. N. Majeed. "Comment on “T i -spaces I, II”". EKB Journal Management System, 24, 4, 2016, 582-584. doi: 10.1016/j.joems.2016.01.006
Tantawy, O., El-Sheikh, S., Majeed, R. (2016). 'Comment on “T i -spaces I, II”', EKB Journal Management System, 24(4), pp. 582-584. doi: 10.1016/j.joems.2016.01.006
Tantawy, O., El-Sheikh, S., Majeed, R. Comment on “T i -spaces I, II”. EKB Journal Management System, 2016; 24(4): 582-584. doi: 10.1016/j.joems.2016.01.006

Comment on “T i -spaces I, II”

Journal of the Egyptian Mathematical Society
Volume 24, Issue 4, 2016, Page 582-584  XML PDF (269.98 K)
DOI: 10.1016/j.joems.2016.01.006
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Authors
O. A. Tantawy1; S. A. El-Sheikh2; R. N. Majeed3, 4
1Mathematics Department, Faculty of Science, Zagaziq University, Cairo, Egypt
2Mathematics Department, Faculty of Education, Ain Shams University, Cairo, Egypt
3Mathematics Department, Faculty of Science, Ain Shams University, Abbassia, Cairo, Egypt
4Mathematics Department, College of Education Ibn-Al-Haitham, Baghdad University, Iraq
Abstract
In this comment, we show that some assertions made in Bayoumi and Ibedou (2002)
[1] and Bayoumi and Ibedou (2002) [2] are incorrect. Specifically, one implication from Theorem 3.1
made in Bayoumi and Ibedou (2002) [1] is erroneous. Consequently, Propositions 5.1 and 6.1 intro-
duced in Bayoumi and Ibedou (2002) [2] are incorrect. In addition, one implication from Theorems
5.1 and 6.1, made in Bayoumi and Ibedou (2002) [2] are incorrect. We give some counterexamples to
support our claim.
Keywords
Fuzzy topological space; Fuzzy filter; Fuzzy neighborhood filter; Fuzzy separation axioms
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