A new notion of soft Nano connectedness in soft Nano topo-logical space

A more flexible and nuanced view of space and objects that are inherently ambiguous or inaccurate is made possible by soft nano topology. Connectivity concepts play an major role in topological spaces. The classification and comprehension of the various topological spacestructures is aided by connectivity. The main aspect of this article is to introduce new types of soft nano connected space known as soft nano ic-pre generalized connected space anddiscuss its properties. Further, we introduce new type of hyper connected space known as soft nano ic-pre generalized hyper connected space and look over its characteristics. This idea makes it instinctive to comprehend topological structures and some difficult theorems, and it aids in the development of concepts like compactness and separation axioms in soft nano topology.