Urysohn universal spaces as metric groups of exponent 2

• Autorzy: Piotr Niemiec
• Języki publikacji: EN

Abstrakty

EN

The aim of the paper is to prove that the bounded and unbounded Urysohn universal spaces have unique (up to isometric isomorphism) structures of metric groups of exponent 2. An algebraic-geometric characterization of Boolean Urysohn spaces (i.e. metric groups of exponent 2 which are metrically Urysohn spaces) is given.

Kategorie tematyczne

• 51F99: None of the above, but in this section
• 54H11: Topological groups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2009
• Tom: 204
• Numer: 1
• Strony: 1-6

Daty

wydano

2009

Twórcy

autor

Piotr Niemiec

• Institute of Mathematics, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland

Identyfikatory

DOI

10.4064/fm204-1-1