Address: Mathematical Sciences Institute, Australian National University, ACT 0200, Australia
E-mail: meastwoo@member.ams.org
Abstract: The standard conformal compactification of Euclidean space is the round sphere. We use conformal geodesics to give an elementary proof that this is the only possible conformal compactification.
AMSclassification: primary 53A30; secondary 53C22.
Keywords: stereographic, conformal circles, compactification.
DOI: 10.5817/AM2014-5-265