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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

 

Regular ${\mathbf{O}}\left( n \right)$-manifolds, suspension of knots, and knot periodicity


Author: Glen E. Bredon
Journal: Bull. Amer. Math. Soc. 79 (1973), 87-91
MSC (1970): Primary 57C45, 57E15; Secondary 57D40
MathSciNet review: 0310901
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  • 1. Glen E. Bredon, Introduction to compact transformation groups, Academic Press, New York-London, 1972. Pure and Applied Mathematics, Vol. 46. MR 0413144 (54 #1265)
  • 2. Dieter Erle, Die quadratische Form eines Knotens und ein Satz über Knotenmannigfaltigkeiten, J. Reine Angew. Math. 236 (1969), 174–218 (German). MR 0248856 (40 #2106)
  • 3. F. Hirzebruch, Singularities and exotic spheres, Séminaire Bourbaki. Vol. 1966/67: Exposé 314, Benjamin, New York, 1968. MR 37 # 10.
  • 4. Wu-chung Hsiang and Wu-yi Hsiang, Differentiable actions of compact connected classical groups. I, Amer. J. Math. 89 (1967), 705–786. MR 0217213 (36 #304)
  • 5. Klaus Jänich, Differenzierbare Mannigfaltigkeiten mit Rand als Orbiträume differenzierbarer 𝐺-Mannigfaltigkeiten ohne Rand, Topology 5 (1966), 301–320 (German). MR 0202157 (34 #2030)
  • 6. J. Levine, An algebraic classification of some knots of codimension two, Comment. Math. Helv. 45 (1970), 185–198. MR 0266226 (42 #1133)
  • 7. J. Levine, Knot cobordism groups in codimension two, Comment. Math. Helv. 44 (1969), 229–244. MR 0246314 (39 #7618)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9904-1973-13105-2
PII: S 0002-9904(1973)13105-2