Covering dimension using toric varieties
Metric Geometry
2014-09-02 v1 Algebraic Topology
Abstract
In this paper we deduce the Lebesgue and the Knaster--Kuratowski--Mazurkiewicz theorems on the covering dimension, as well as their certain generalizations, from some simple facts of toric geometry. This provides a new point of view on this circle of results.
Cite
@article{arxiv.1307.3437,
title = {Covering dimension using toric varieties},
author = {Roman Karasev},
journal= {arXiv preprint arXiv:1307.3437},
year = {2014}
}