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Linked pairs of contractible polyhedra in $ S\sp n$


Author: Craig R. Guilbault
Journal: Proc. Amer. Math. Soc. 121 (1994), 1271-1274
MSC: Primary 57N15; Secondary 57Q45
DOI: https://doi.org/10.1090/S0002-9939-1994-1205493-5
MathSciNet review: 1205493
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Abstract: B. Mazur has described a geometrically linked pair of compact contractible polyhedra in $ {S^4}$. In this note we exhibit an even more extreme type of linking between compact contractible polyhedra in $ {S^n},n \geq 5$.


References [Enhancements On Off] (What's this?)

  • [Ke] M. A. Kervaire, Smooth homology spheres and their fundamental groups, Trans. Amer. Math. Soc. 144 (1969), 67-72. MR 0253347 (40:6562)
  • [Ma] B. Mazur, A note on some contractible 4-manifolds, Ann. of Math. (2) 73 (1961), 221-228. MR 0125574 (23:A2873)
  • [Sm] S. Smale, Generalized Poincaré conjecture in dimensions greater than four, Ann. of Math. (2) 74 (1961), 391-406. MR 0137124 (25:580)
  • [St] J. R. Stallings, The embedding of homotopy types into manifolds, Mimeographed notes, Princeton Univ., 1965.
  • [Wr] D. G. Wright, Contractible open manifolds which are not covering spaces, Topology 3 (1992), 281-291. MR 1167170 (93f:57004)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1994-1205493-5
Article copyright: © Copyright 1994 American Mathematical Society

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