Local Functions and Composition With Euclidean Smooth Functions
الملخص
In [2] the local function on a nonempty set and the composition with Euclidean smooth functions are defined for collection of functions , which is an abstract generalization of the collection of functions on the Euclidean space [12]. This paper provides local functions and composition with Euclidean smooth functions for a countable set of functions . Important theorems and examples concerning local functions and composition with Euclidean smooth functions are given.