A topological view of ordered groups
Banach Center Publications (2014)
- Volume: 103, Issue: 1, page 357-369
- ISSN: 0137-6934
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topDale Rolfsen. "A topological view of ordered groups." Banach Center Publications 103.1 (2014): 357-369. <http://eudml.org/doc/286351>.
@article{DaleRolfsen2014,
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.},
author = {Dale Rolfsen},
journal = {Banach Center Publications},
keywords = {left-ordered groups; bi-ordered groups; spaces of orderings; orderability criteria},
language = {eng},
number = {1},
pages = {357-369},
title = {A topological view of ordered groups},
url = {http://eudml.org/doc/286351},
volume = {103},
year = {2014},
}
TY - JOUR
AU - Dale Rolfsen
TI - A topological view of ordered groups
JO - Banach Center Publications
PY - 2014
VL - 103
IS - 1
SP - 357
EP - 369
AB - 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.
LA - eng
KW - left-ordered groups; bi-ordered groups; spaces of orderings; orderability criteria
UR - http://eudml.org/doc/286351
ER -
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