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A topological view of ordered groups

Volume 103 / 2014

Dale Rolfsen Banach Center Publications 103 (2014), 357-369 MSC: 20F60. DOI: 10.4064/bc103-0-13

Abstract

In this expository article we use topological ideas, notably compactness, to establish certain basic properties of orderable groups. Many of the properties we shall discuss are well-known, but I believe some of the proofs are new. These will be used, in turn, to prove some orderability results, including the left-orderability of the group of PL homeomorphisms of a surface with boundary, which are fixed on at least one boundary component.

Authors

  • Dale RolfsenPacific Institute for the Mathematical Sciences (PIMS)
    University of British Columbia
    Vancouver, BC V6T 1W5, Canada
    e-mail

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