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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The inverse limit of the fundamental groups of branched cyclic coverings


Author: Michael Dellomo
Journal: Proc. Amer. Math. Soc. 104 (1988), 321-326
MSC: Primary 57M25; Secondary 55P25
MathSciNet review: 958092
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Abstract: Cowsik and Swarup [CS] have shown that the homology groups of the infinite cyclic cover of a knot inject into the inverse limit of the homology groups of the branched cyclic covers. They also give conditions under which the injection is an isomorphism. We prove an analogous result for the fundamental group and generalize it to the case of links.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1988-0958092-1
PII: S 0002-9939(1988)0958092-1
Article copyright: © Copyright 1988 American Mathematical Society