Non-abelian group structure on the Urysohn universal space

• Autorzy: Michal Doucha
• Języki publikacji: EN

Abstrakty

EN

We prove that there exists a non-abelian group structure on the Urysohn universal metric space. More precisely, we introduce a variant of the Graev metric that enables us to construct a free group with countably many generators equipped with a two-sided invariant metric that is isometric to the rational Urysohn space. We list several related open problems.

Kategorie tematyczne

• 03C98: Applications of model theory
• 22A05: Structure of general topological groups
• 54E50: Complete metric spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2015
• Tom: 228
• Numer: 3
• Strony: 251-263

Daty

wydano

2015

Twórcy

autor

Michal Doucha

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-656 Warszawa, Poland

Identyfikatory

DOI

10.4064/fm228-3-3