On the structure of finite-sheeted coverings of compact connected groups

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dc.creatorGrigorian, S. A.
dc.creatorGumerov, R. N.
dc.date2004-03-20
dc.date.accessioned2026-07-07T05:06:34Z
dc.date.available2026-07-07T05:06:34Z
dc.descriptionFinite-sheeted covering mappings onto compact connected groups are studied. It is shown that a finite-sheeted covering mapping from a connected Hausdorff topological space onto a compact connected abelian group G must be a homeomorphism provided that the character group of G admits division by the degree of given covering mapping. Using this result, we obtain criteria of triviality for finite coverings of G in terms of its character group and means on G. In order to establish these facts, for a k-sheeted covering mapping from a compact topological space onto a compact connected group, we construct an inverse system of k-sheeted coverings onto Lie groups which approximates this covering mapping and prove a covering group theorem.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0403329
dc.identifierhttp://arxiv.org/abs/math/0403329
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70517
dc.subjectGeneral Topology
dc.subject57M10, 54C10, 54H11, 22C05
dc.titleOn the structure of finite-sheeted coverings of compact connected groups
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