Virtually regular coverings

Lozano, María Teresa; Safont, Carmen

doi:10.1090/S0002-9939-1989-0937849-8

Virtually regular coverings
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by María Teresa Lozano and Carmen Safont

Proc. Amer. Math. Soc. 106 (1989), 207-214

DOI: https://doi.org/10.1090/S0002-9939-1989-0937849-8

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Abstract:

In this paper we introduce the concept of virtually regular covering, which include all regular branched coverings and also some irregular ones. We prove that, as in the case of regular coverings, some properties of the branching set reflect properties of the cover for virtually regular coverings of ${S^3}$, generalizing results of Kim-Tollefson, Lozano and Plotnick. As a consequence, we obtain that every virtually regular cover of ${S^3}$ branched along a fracturable prime and non split link is Haken.

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