Local Functions and Composition With Euclidean Smooth Functions
DOI:
https://doi.org/10.58916/jhas.v8i5.107Keywords:
Functions concept, initial topology, partial derivatives, smooth functionsAbstract
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.
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