Metrization of free groups on ultrametric spaces
| Autor: | Michael Zarichnyi, A. Savchenko |
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| Rok vydání: | 2010 |
| Předmět: |
Functor
Category of ultrametric spaces Concrete category Mathematics::General Topology Free topological group Invariant metric Characterization (mathematics) Monad (functional programming) Condensed Matter::Disordered Systems and Neural Networks Combinatorics Mathematics::K-Theory and Homology Mathematics::Category Theory Mathematics::Metric Geometry Category of topological spaces Monad Geometry and Topology Topological group Ultrametric space Ultrametric Mathematics |
| Zdroj: | Topology and its Applications. 157:724-729 |
| ISSN: | 0166-8641 |
| Popis: | We consider ultrametrizations of free topological groups of ultrametric spaces. A construction is defined that determines a functor in the category UMET 1 of ultrametric spaces of diameter ⩽1 and nonexpanding maps. This functor is the functorial part of a monad in UMET 1 and we provide a characterization of the category of its algebras. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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