Some results on maximal open sets | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 8، دوره 3، شماره 2، 2012، صفحه 59-66 اصل مقاله (366.93 K) | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2012.44 | ||
| نویسندگان | ||
| M. Roohi1؛ M. Rostamian Delavar* 2؛ S. Mohammadzadeh3 | ||
| 1Department of Mathematics, Faculty of Sciences, Golestan University,, P.O.Box. 155, Gorgan, Iran. | ||
| 2Young Researchers Club, Sari Branch, Islamic Azad University, Sari, Iran. | ||
| 3Islamic Azad University-Babol Branch, Babol, Iran. | ||
| چکیده | ||
| In this paper, the notion of maximal m-open set is introduced and its properties are investigated. Some results about existence of maximal m-open sets are given. Moreover, the relations between maximal m-open sets in an m-space and maximal open sets in the corresponding generated topology are considered. Our results are supported by examples and counterexamples. | ||
| کلیدواژهها | ||
| Small topology؛ minimal structure؛ maximal open set؛ cofinite subset؛ generated topology | ||
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