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Covering maps over solenoids which are not covering homomorphisms (CROSBI ID 199593)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Eda, Katsuya ; Matijević, Vlasta Covering maps over solenoids which are not covering homomorphisms // Fundamenta mathematicae, 221 (2013), 1; 69-82

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

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Podaci o izdanju

221 (1)

2013.

69-82

objavljeno

0016-2736

Povezanost rada

Matematika

Indeksiranost