Abdel-All, N. (2011). On minimal sets and strictly weaker topologies. test, 19(3), 112-117. doi: 10.1016/j.joems.2011.10.004
N. H. Abdel-All. "On minimal sets and strictly weaker topologies". test, 19, 3, 2011, 112-117. doi: 10.1016/j.joems.2011.10.004
Abdel-All, N. (2011). 'On minimal sets and strictly weaker topologies', test, 19(3), pp. 112-117. doi: 10.1016/j.joems.2011.10.004
Abdel-All, N. On minimal sets and strictly weaker topologies. test, 2011; 19(3): 112-117. doi: 10.1016/j.joems.2011.10.004

On minimal sets and strictly weaker topologies

Journal of the Egyptian Mathematical Society
Volume 19, Issue 3, September 2011, Pages 112-117    PDF (360.24 K)
DOI: 10.1016/j.joems.2011.10.004
Author
N. H. Abdel-All1, 2
1Math. Dept., Faculty of Science, Assiut University, Assiut 71516, Egypt
2Math. Dept., College of Science and Arts in Unaizah, Qassim University, Qassim 10363, Saudi Arabia
Abstract
In [1,2] Farrag characterized the stirictly weaker principal topologies than any given principal topology on a nonempty set by using the minimal open sets which are defined by Steiner [3]. This paper mainly generalizes this result by using the minimal sets, which are defined in the paper with respect to the given topology s on a nonempty set.
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