CONTINUITY ON N-ARY SPACES

Continuous functions play a dominant role in analysis and homotopy theory. They have applications to image processing, signal processing, information, statistics, engineering and technology. Recently topologists studied the continuous like functions between two different topological structures. For example, semi continuity between a topological structure, α-continuity between a topology and an α-topology. Nithyanantha Jothi and Thangavelu introduced the concept of binary topology in 2011. Recently the authors extended the notion of binary topology to n-ary topology where n˃1 an integer. In this paper continuous like functions are defined between a topological and an n-ary topological structures and their basic properties are studied.