The Homotopoy Type of Four-Dimensional Knot Complements.
Steven P. Plotnick (1983)
Mathematische Zeitschrift
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Steven P. Plotnick (1983)
Mathematische Zeitschrift
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John R. Klein (1992)
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Greg Friedman (2007)
Fundamenta Mathematicae
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We show that there exist non-trivial piecewise linear (PL) knots with isolated singularities , n ≥ 5, whose complements have the homotopy type of a circle. This is in contrast to the case of smooth, PL locally flat, and topological locally flat knots, for which it is known that if the complement has the homotopy type of a circle, then the knot is trivial.
Makoto Sakuma, Kanji Morimoto (1991)
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C. McA. Gordon, José María Montesinos (1986)
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Kouki Taniyama (1991)
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Daniel S. Silver (1993)
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Richard L. Hartley (1980)
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J.A. Hillman, S.P. Plotnick (1990)
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Hitoshi Murakami (1985)
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Robert M. Patton (1995)
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Martin Scharlemann (1977)
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Ying-Qing Wu (1993)
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C.McA. Gordon (1981)
Mathematische Annalen
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