Hostname: page-component-586b7cd67f-rdxmf Total loading time: 0 Render date: 2024-11-27T20:23:42.927Z Has data issue: false hasContentIssue false
  • English
  • Français

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]
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)