A topological view of ordered groups

• Autorzy: Dale Rolfsen
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 20F60: Ordered groups \SeeMainly{}

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2014
• Tom: 103
• Numer: 1
• Strony: 357-369

Daty

wydano

2014

Twórcy

autor

Dale Rolfsen

• Pacific Institute for the Mathematical Sciences (PIMS), University of British Columbia, Vancouver, BC V6T 1W5, Canada

Identyfikatory

DOI

10.4064/bc103-0-13