Covering maps over solenoids which are not covering homomorphisms (CROSBI ID 199593)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Eda, Katsuya ; Matijević, Vlasta
engleski
Covering maps over solenoids which are not covering homomorphisms
Let Y be a connected group and let f:X->Y be a covering map with the total space X being connected. The following question is considered: Is it possible to define a topological group structure on X making f a homomorphism of topological groups. The question is answered in the negative by constructing a connected infinite-sheeted covering map over an arbitrary solenoid which is not an overlay map and consequently not a covering homomorphism.
Solenoid; compact connected group; covering map; overlay map; covering homomorphism; infinite-sheeted
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano