Topology on the spaces of orderings of groups

Details Topology on the spaces of orderings of groups Topology on the spaces of orderings of groups

2001-10-31

arxiv.org/abs/math/0111002v4

Mathematics

Group Theory

9 pages, corrections introduced, to appear in Bulletin of London Mathematical Society

Scientific paper

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.

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