Characterizations of knots and links
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- by Wilbur Whitten PDF
- Bull. Amer. Math. Soc. 80 (1974), 1265-1270
References
- C. D. Feustel, Some applications of Waldhausen’s results on irreducible surfaces, Trans. Amer. Math. Soc. 149 (1970), 575–583. MR 261575, DOI 10.1090/S0002-9947-1970-0261575-4
- C. D. Papakyriakopoulos, On Dehn’s lemma and the asphericity of knots, Ann. of Math. (2) 66 (1957), 1–26. MR 90053, DOI 10.2307/1970113
- Horst Schubert, Knoten und Vollringe, Acta Math. 90 (1953), 131–286 (German). MR 72482, DOI 10.1007/BF02392437
- Jonathan Simon, An algebraic classification of knots in $S^{3}$, Ann. of Math. (2) 97 (1973), 1–13. MR 310861, DOI 10.2307/1970874
- Friedhelm Waldhausen, Gruppen mit Zentrum und $3$-dimensionale Mannigfaltigkeiten, Topology 6 (1967), 505–517 (German). MR 236930, DOI 10.1016/0040-9383(67)90008-0
- Friedhelm Waldhausen, On irreducible $3$-manifolds which are sufficiently large, Ann. of Math. (2) 87 (1968), 56–88. MR 224099, DOI 10.2307/1970594
- Wilbur Whitten, Algebraic and geometric characterizations of knots, Invent. Math. 26 (1974), 259–270. MR 365548, DOI 10.1007/BF01425553
- Wilbur Whitten, Groups and manifolds characterizing links, Knots, groups, and $3$-manifolds (Papers dedicated to the memory of R. H. Fox), Ann. of Math. Studies, No. 84, Princeton Univ. Press, Princeton, N.J., 1975, pp. 63–84. MR 0385840
Additional Information
- Journal: Bull. Amer. Math. Soc. 80 (1974), 1265-1270
- MSC (1970): Primary 55A25, 57A10; Secondary 55A05
- DOI: https://doi.org/10.1090/S0002-9904-1974-13709-2
- MathSciNet review: 0365547