Comment on “T i -spaces I, II” | ||
| Journal of the Egyptian Mathematical Society | ||
| Volume 24, Issue 4, 2016, Pages 582-584 PDF (269.98 K) | ||
| DOI: 10.1016/j.joems.2016.01.006 | ||
| 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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