A note on finite-sheeted covering maps from 2-dimensional compact Abelian groups |
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Authors: | Vlasta Matijevi? |
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Institution: | Department of Mathematics, University of Split, Croatia |
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Abstract: | 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. |
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Keywords: | Covering map 2-Dimensional torus Klein bottle Compact group Solenoid 2-Dimensional compact abelian group Weak solenoidal space |
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