Delta-epsilon functions and uniform continuity on metric spaces
General Mathematics
2017-10-12 v1
Abstract
Under certain general conditions, an explicit formula to compute the greatest delta-epsilon function of a continuous function is given. From this formula, a new way to analyze the uniform continuity of a continuous function is given. Several examples illustrating the theory are discussed.
Cite
@article{arxiv.1710.04070,
title = {Delta-epsilon functions and uniform continuity on metric spaces},
author = {César Adolfo Hernández Melo},
journal= {arXiv preprint arXiv:1710.04070},
year = {2017}
}