Article ID Journal Published Year Pages File Type
4660297 Topology and its Applications 2010 6 Pages PDF
Abstract

We consider ultrametrizations of free topological groups of ultrametric spaces. A construction is defined that determines a functor in the category UMET1 of ultrametric spaces of diameter ⩽1 and nonexpanding maps. This functor is the functorial part of a monad in UMET1 and we provide a characterization of the category of its algebras.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology