Some non-trivial PL knots whose complements are homotopy circles

• Autorzy: Greg Friedman
• Języki publikacji: EN

Abstrakty

EN

We show that there exist non-trivial piecewise linear (PL) knots with isolated singularities $S^{n-2} ⊂ Sⁿ$, 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.

Kategorie tematyczne

• 57Q45: Knots and links (in high dimensions)
• 55P10: Homotopy equivalences

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2007
• Tom: 193
• Numer: 1
• Strony: 1-6

Daty

wydano

2007

Twórcy

autor

Greg Friedman

• Department of Mathematics, Vanderbilt University, 1326 Stevenson Center, Nashville, TN 37240, U.S.A.

Identyfikatory

DOI

10.4064/fm193-1-1