Characterization of knot complements in the n-sphere
Liem, Vo-Thanh ; Venema, Gerard
Fundamenta Mathematicae, Tome 146 (1995), p. 189-196 / Harvested from The Polish Digital Mathematics Library
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Knot complements in the n-sphere are characterized. A connected open subset W of Sn is homeomorphic with the complement of a locally flat (n-2)-sphere in Sn, n ≥ 4, if and only if the first homology group of W is infinite cyclic, W has one end, and the homotopy groups of the end of W are isomorphic to those of S1 in dimensions less than n/2. This result generalizes earlier theorems of Daverman, Liem, and Liem and Venema.

Publié le : 1995-01-01
EUDML-ID : urn:eudml:doc:212083 
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Liem, Vo-Thanh; Venema, Gerard. Characterization of knot complements in the n-sphere. Fundamenta Mathematicae, Tome 146 (1995) pp. 189-196. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv147i2p189bwm/

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