ABSTRACT
Amply soft topology is defined by Göçür in his study named “amply soft set and it’s topologies : AS and PAS Topologies”. In this study, ” neighbourhoods on amply soft topology” is a continuation of our previous study named “on amply soft topological spaces”. We introduce neighborhoods and open neighborhoods of a monad point and gave some properties about them. We supported it with various examples. In addition, we have established a topology on real number sub-intervals for our parameter set and space, which we mentioned in our previous studies, but did not create the topology. In this topology, we found the interior, exterior, boundary and closure points and created the neighborhoods and open neighborhoods of several monad points. Of course, in this study, we have enriched our example with the properties and definitions we have given, by choosing our parameter and space as a subset of real numbers, unlike the soft sets that have been defined before, which is a feature unique to our set.
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