Taming and the Poincaré conjecture
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- by T. L. Thickstun PDF
- Trans. Amer. Math. Soc. 238 (1978), 385-396 Request permission
Abstract:
L. Glaser and L. Siebenmann have shown that the double suspension of a homotopy 3-sphere is homeomorphic to the 5-sphere. This result, together with a well-known characterization of ${S^3}$ due to R. H. Bing, is used to establish a relationship between the Poincaré conjecture and two conjectures concerned with taming embeddings in higher dimensions. One of the two conjectures, each of which implies the Poincaré conjecture, states, in effect, that a codimension two sphere is tame if it is tame “modulo” a tame disk contained in it.References
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Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 238 (1978), 385-396
- MSC: Primary 57A10; Secondary 55A40, 57C30
- DOI: https://doi.org/10.1090/S0002-9947-1978-0482769-6
- MathSciNet review: 0482769