Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660859 | Topology and its Applications | 2006 | 13 Pages |
Abstract
Let G be a 2-dimensional connected, compact Abelian group and s be a positive integer. We prove that a classification of s-sheeted covering maps over G is reduced to a classification of s-index torsionfree supergroups of the Pontrjagin dual . Using group theoretic results from earlier paper we demonstrate its consequences. We also prove that for a connected compact group Y:(1)Every finite-sheeted covering map from a connected space over Y is equivalent to a covering homomorphism from a compact, connected group.(2)If two finite-sheeted covering homomorphisms over Y are equivalent, then they are equivalent as topological homomorphisms.
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