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Characterization of knot complements in the n-sphere

100%

Liem V.-T., Venema G. A.

Fundamenta Mathematicae

1995

tom 147

nr 2

189-196

Knot complements in the n-sphere are characterized. A connected open subset W of $S^n$ is homeomorphic with the complement of a locally flat (n-2)-sphere in $S^n$, 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 $S^1$ in dimensions less than n/2. This result generalizes earlier theorems of Daverman, Liem, and Liem and Venema.

Stable shape concordance implies homeomorphic complements

70%

Liem V.-T., Venema G. A.

Fundamenta Mathematicae

1985-1986

tom 126

nr 2

123-131

Neighborhoods of compacta in euclidean space

60%

Venema G. A.

Fundamenta Mathematicae

1980

tom 109

nr 1

71-78

Ograniczanie wyników

3 Fundamenta Mathematicae

3 Venema G. A.

2 Liem V.-T.

1 1995

1 1986

1 1980

Wyniki wyszukiwania

Characterization of knot complements in the n-sphere

Stable shape concordance implies homeomorphic complements

Neighborhoods of compacta in euclidean space