Topology on the spaces of orderings of groups
Group Theory
2015-05-27 v4 Commutative Algebra
Rings and Algebras
Abstract
A natural topology on the space of left orderings of an arbitrary semi-group is introduced. It is proved that this space is compact and that for free abelian groups it is homeomorphic to the Cantor set. An application of this result is a new proof of the existence of universal Grobner bases.
Cite
@article{arxiv.math/0111002,
title = {Topology on the spaces of orderings of groups},
author = {Adam S. Sikora},
journal= {arXiv preprint arXiv:math/0111002},
year = {2015}
}
Comments
9 pages, corrections introduced, to appear in Bulletin of London Mathematical Society