On antipodal sets on the sphere and on continuous involutions
J. Jaworowski (1956)
Fundamenta Mathematicae
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Displaying similar documents to “The strong symmetrical cut sets of closed euclidean n-space”
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Michael Handel proved the existence of a fixed point for an orientation preserving homeomorphism of the open unit disk that can be extended to the closed disk, provided that it has points whose orbits form an oriented cycle of links at infinity. More recently, the author generalized Handel's theorem to a wider class of cycles of links. In this paper we complete this topic describing exactly which are all the cycles of links forcing the existence of a fixed point.