A short proof of a theorem of Plans on the homology of the branched cyclic coverings of a knot
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- by C. McA. Gordon PDF
- Bull. Amer. Math. Soc. 77 (1971), 85-87
References
- R. H. Fox, A quick trip through knot theory, Topology of 3-manifolds and related topics (Proc. The Univ. of Georgia Institute, 1961) Prentice-Hall, Englewood Cliffs, N.J., 1962, pp. 120–167. MR 0140099
- Lebrecht Goeritz, Die Betti’schen Zahlen Der Zyklischen Uberlagerungsraume Der Knotenaussenraume, Amer. J. Math. 56 (1934), no. 1-4, 194–198 (French). MR 1507011, DOI 10.2307/2370923 3. C. C. MacDuffee, The theory of matrices, Springer, Berlin, 1933; reprint, Chelsea, New York, 1946.
- L. P. Neuwirth, Knot groups, Annals of Mathematics Studies, No. 56, Princeton University Press, Princeton, N.J., 1965. MR 0176462
- Antonio Plans, Contribution to the study of the homology groups of the cyclic ramified coverings corresponding to a knot, Rev. Acad. Ci. Madrid 47 (1953), 161–193 (5 plates) (Spanish). MR 56923 6. H. Seifert, Über das Geschied von Knoten, Math. Ann. 110 (1934), 571-592.
Additional Information
- Journal: Bull. Amer. Math. Soc. 77 (1971), 85-87
- MSC (1970): Primary 55A10, 55A25
- DOI: https://doi.org/10.1090/S0002-9904-1971-12611-3
- MathSciNet review: 0267567