Topology on the Spaces of Orderings of Groups and Semi-goups

Abstract

We introduce a natural topology on the space of left orderings of an arbitrary semi-group G. We prove that this space is always compact and that for free abelian groups it is homeomorphic to the Cantor set. We use our topological approach to provide a simple proof of the existence of universal Gröbner bases. 1. Orderings for semi-groups Given a semi-group G… (More)

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Cite this paper

@inproceedings{Sikora2001TopologyOT, title={Topology on the Spaces of Orderings of Groups and Semi-goups}, author={Adam S. Sikora}, year={2001} }