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A note on finite-sheeted covering maps from 2-dimensional compact abelian groups (CROSBI ID 157612)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Matijević, Vlasta A note on finite-sheeted covering maps from 2-dimensional compact abelian groups // Topology and its applications, 157 (2010), 2746-2756

Podaci o odgovornosti

Matijević, Vlasta

engleski

A note on finite-sheeted covering maps from 2-dimensional compact abelian groups

We consider finite-sheeted covering maps from 2-dimensional compact connected abelian groups to Klein bottle weak solenoidal spaces, metric continua which are not groups. We show that whenever a group covers a Klein bottle weak solenoidal space it covers groups as well, moreover it covers the product of two solenoids. The converse is not true, we give an example of group which covers groups with any finite number of sheets, but does not cover any Klein bottle weak solenoidal space.

Covering map; 2-dimensional torus; Klein bottle; solenoid; 2-dimensional compact abelian group; weak solenoidal space

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Podaci o izdanju

157

2010.

2746-2756

objavljeno

0166-8641

Povezanost rada

Matematika

Indeksiranost