Corrigendum to "Separation axioms on soft topological spaces, Annals of Fuzzy Mathematics and Informatics, 11 (4) (2016) 511- 525"
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In [7], the authors reported that a soft $T_i$-space need not be a soft $T_{i-1}$-space, for $i=3, 4, 5$ [Line 4 and 5 in abstract] and [Theorem 3.21], and the soft $T_i$-spaces in the sense of [3] and soft $T_i$-spaces in their work are equivalent, for $i=0, 1, 2, 3$ [Line 7 and 8 in abstract] and [Line 12 and 13, p.p. 522]. In this note, we correct the errors in these assertions by proving that every soft $T_3$-space is a soft $T_{2}$-space and presenting two counterexamples to show that a soft $T_i$-space in the sense of [3] is not equivalent to a soft $T_{i}$-space in the sense of [7], for $i=2, 3$.
Abstract
In [7], the authors reported that a soft $T_i$-space need not be a soft $T_{i-1}$-space, for $i=3, 4, 5$ [Line 4 and 5 in abstract] and [Theorem 3.21], and the soft $T_i$-spaces in the sense of [3] and soft $T_i$-spaces in their work are equivalent, for $i=0, 1, 2, 3$ [Line 7 and 8 in abstract] and [Line 12 and 13, p.p. 522]. In this note, we correct the errors in these assertions by proving that every soft $T_3$-space is a soft $T_{2}$-space and presenting two counterexamples to show that a soft $T_i$-space in the sense of [3] is not equivalent to a soft $T_{i}$-space in the sense of [7], for $i=2, 3$.
참고문헌 (8)
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