A dimensional property of Cartesian product
Geometric Topology
2012-12-13 v1 General Topology
Abstract
We show that the Cartesian product of three hereditarily infinite dimensional compact metric spaces is never hereditarily infinite dimensional. It is quite surprising that the proof of this fact (and this is the only proof known to the author) essentially relies on algebraic topology.
Keywords
Cite
@article{arxiv.1212.2820,
title = {A dimensional property of Cartesian product},
author = {Michael Levin},
journal= {arXiv preprint arXiv:1212.2820},
year = {2012}
}