An intuitive proof of the Dvoretzky-Hanani theorem in R^2
Functional Analysis
2017-11-15 v1
Abstract
The Dvoretzky-Hanani theorem states that the general term of any perfectly divergent series in a finite dimensional space does not tend to zero. An intuitive proof is provided R2 using a construction that allows us to determine a choice of +/- such that converges to a point in the space if ||a_i|| goes to 0. Extensions to the construction are proposed for the general R^n.
Keywords
Cite
@article{arxiv.1711.04635,
title = {An intuitive proof of the Dvoretzky-Hanani theorem in R^2},
author = {Efstratios Markou},
journal= {arXiv preprint arXiv:1711.04635},
year = {2017}
}