Characterization Of soft-Open Set In soft-Tritopological Space
Abstract
In this paper, we investigate the properties of set in a tritopological spaces, detailed study is carried out on properties of interior, closure of sets and neighborhood of point which is the foundation for further research on the theory of tritopological spaces (w.r.t. set).
Also, the newly introduced concept is the collection of parametrized topologies of tritopology over the initial universe set, for more exactly, corresponding to each parameter of a tritopological space, we get a crisp topology and this makes the involvement of the parameters set more significant. And we can say that tritopological space ( if the collection of all set verify soft-topology ) gives a parametrized family of crisp topologies over the universe set, and this is viewed in detail with the help of various examples in this paper.