NEW SORT OF NEIGHBOURHOOD AND DERIVED SETS IN MILLI TOPOLOGICAL SPACES

This manuscript aims to define several models in milli topological spaces. This approach extends the scope of applications in topology. Firstly, we generate a new class of milli neighbourhood of a point, milli neighbourhood of a set and milli neighbourhood system in milli topological spaces. We elucidate the relationship between them and investigate the conditions under which some of them are identical. Then we create the notion of milli limit points, milli derived sets and milli dense sets. We also introduce new types of sets namely milli clopen sets, milli extremely disconnected sets and milli door space in milli topological spaces. Moreover, we investigate some of their basic properties.