NETS AND SEPARATED S-POSETS
نویسنده
چکیده مقاله:
Nets, useful topological tools, used to generalize certainconcepts that may only be general enough in the context of metricspaces. In this work we introduce this concept in an $S$-poset, aposet with an action of a posemigroup $S$ on it whichis a very useful structure in computer sciences and interestingfor mathematicians, and give the the concept of $S$-net. Using $S$-nets and itsconvergency we also give some characterizations of separated$S$-posets.Also, introducing the net-closure operators, we investigatethe counterparts of topological separation axioms on $S$-posetsand study their relation to separated $S$-posets.
منابع مشابه
nets and separated s-posets
nets, useful topological tools, used to generalize certainconcepts that may only be general enough in the context of metricspaces. in this work we introduce this concept in an $s$-poset, aposet with an action of a posemigroup $s$ on it whichis a very useful structure in computer sciences and interestingfor mathematicians, and give the the concept of $s$-net. using $s$-nets and itsconvergency we...
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عنوان ژورنال
دوره 1 شماره 1
صفحات 33- 43
تاریخ انتشار 2013-09-15
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