ON THE RING OF THE SPACE OF UNIFORMLY CONTINUOUS FUNCTIONS
DOI:
https://doi.org/10.33936/revbasdelaciencia.v7iESPECIAL.5112Keywords:
Rings, Continuity, Uniform Continuity, Space, Functions.Abstract
It is well known that the dot product of two uniformly continuous functions is not necessarily uniformly continuous. In this article a review is made on the works that study the uniformly continuous functions and the characteristics so that a continuous function on a space is always uniformly continuous and its dot product is uniformly continuous. In the review it was possible to verify sufficient conditions for a uniform space to be uniformly continuous. In addition, the most important demonstrations of results will be included, unifying the notation between one article and another.
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