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TOPOLOGY ON THE SPACES OF ORDERINGS OF GROUPS

Published online by Cambridge University Press:  14 June 2004

ADAM S. SIKORA
ADAM S. SIKORA
Affiliation:
Dept. of Mathematics, 244 Math Bldg, SUNY Buffalo, NY 14260, USA [email protected]
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Abstract

A natural topology on the space of left orderings of an arbitrary semi-group is introduced here. This space is proved to be compact, and for free abelian groups it is shown to be homeomorphic to the Cantor set. An application of this result is a new proof of the existence of universal Gröbner bases.

Keywords

06F1513P10 (primary)06F0520F60 (secondary)
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 36 , Issue 4 , July 2004 , pp. 519 - 526
Copyright
© The London Mathematical Society 2004

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